tag:blogger.com,1999:blog-12964620789532491722024-02-07T16:12:56.625-08:00Rumus BalokPioManhttp://www.blogger.com/profile/13207171635273982489noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-1296462078953249172.post-84173365869005940652011-05-07T08:58:00.000-07:002011-05-07T08:58:39.159-07:00Rumus Volum<div dir="ltr" style="text-align: left;" trbidi="on"><div style="margin-left: 18pt; text-indent: -18pt;"><span style="color: #00b050; font-size: 28pt;">1.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span><b style="color: #a64d79;"><span style="font-size: 28pt;">Bangun Ruang</span></b></div><div style="color: #a64d79; margin-left: 18pt; text-indent: -18pt;"><b><span style="font-size: 28pt;"> &</span></b></div><div style="color: #a64d79; margin-left: 18pt; text-indent: -18pt;"><b><span style="font-size: 28pt;"> Bangun Datar</span></b></div><div style="margin-left: 18pt; text-indent: -18pt;"><b><span style="color: #00b050; font-size: 28pt;"><br />
</span></b></div><div style="margin-left: 18pt; text-indent: -18pt;"><b><span style="color: #00b050; font-size: 28pt;">Bangun Ruang Sisi Lengkung</span></b></div><div class="separator" style="clear: both; color: lime; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgUeqDWAO_-E2HqdC-LDBhoacll3zvOSdLSXgsx2dAOMJIA419fl-HXXRc2Lg2_9o6B_KsgHAZKYl5qJDLSRLJHK-4L5tfWqDjbU_ScOIt2Zwf9Sv0ZR0vSrXYqay6SVdo6GXd8YdSWvmFa/s1600/tabung2.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgUeqDWAO_-E2HqdC-LDBhoacll3zvOSdLSXgsx2dAOMJIA419fl-HXXRc2Lg2_9o6B_KsgHAZKYl5qJDLSRLJHK-4L5tfWqDjbU_ScOIt2Zwf9Sv0ZR0vSrXYqay6SVdo6GXd8YdSWvmFa/s1600/tabung2.jpeg" /></a></div><div style="margin-left: 18pt; text-indent: -18pt;"><br />
</div><div style="margin-left: 18pt; text-indent: -18pt;">a.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span><span style="height: 183px; left: 0px; margin-left: 227px; margin-top: 126px; position: absolute; width: 313px; z-index: 1;"> <table cellpadding="0" cellspacing="0"><tbody>
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<tr> <td><div class="shape" style="padding: 4.35pt 7.95pt;" v:shape="_x0000_s1026">dengan:<br />
r = jari-jari atas/alas tabung<br />
d = diameter atas/ alas tabung<br />
t= tinggi tabung<br />
La = luas bidang atas tabung<br />
Lb = luas bidang bawah/ alas/ dasar tabung<br />
Ls = luas selimut/ selubung tabung<br />
Lp= luas permukaan tabung<br />
V = volume/ isi tabung<br />
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</tbody></table></span><b><span style="color: #ff5050; font-size: 22pt;">Tabung (Silinder )</span></b></div><div style="margin-left: 18pt; text-indent: -18pt;">Dalam tabung (silinder) berlaku rumus-rumus:<br />
i. d = 2r atau r = ½ d<br />
ii. La= Lb= πr 2 = ¼d2<br />
iii. L s= 2πrt = πdt<br />
iv. L p= L a+ Lb + L s= 2πr (r + t) = π d (d + t)<br />
v. V= Lb t = L a t = π r 2 t</div><br />
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</tbody></table></span><b><span style="color: #7030a0; font-size: 22pt;"> Kerucut</span></b><br />
Dalam kerucut berlaku rumus-rumus:<br />
i. d = 2r atau r = ½ d<br />
ii. p2= t 2+ r 2<br />
iii. Lb= πr 2 = ¼πd2<br />
iv. L s= πrp = ½πdp<br />
v. L p= Lb + L s= πr (r + p) =½ πd (d + p)<br />
vi. V = π/3 r 2 t<br />
vii. φ = r/p x 360</div><div style="margin-left: 18pt; text-indent: -18pt;"><br />
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<tr> <td><div class="shape" style="padding: 4.35pt 7.95pt;" v:shape="_x0000_s1028">dengan:<br />
r1 = jari-jari bidang alas/ dasar/ bawah kerucut terpancung<br />
d1 = diameter bidang alas/ dasar/ bawah kerucut terpancung<br />
r2 = jari-jari bidang atas kerucut terpancung<br />
d2 = diameter bidang atas kerucut terpancung<br />
t = tinggi kerucut terpancung<br />
p = panjang garis pelukis atau apotema kerucut terpancung<br />
Lb = luas bidang bawah/ alas/ dasar kerucut terpancung<br />
La = luas bidang atas kerucut terpancung<br />
Ls = luas selimut/ selubung kerucut terpancung<br />
Lp = luas permukaan kerucut terpancung<br />
V = volume/ isi kerucut terpancung <br />
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</tbody></table></span><b><span style="color: #4bacc6; font-size: 22pt;">Kerucut Terpancung</span></b><br />
Dalam kerucut terpancung berlaku rumus-rumus:<br />
i. d1 = 2r1 atau r1 = ½ d 1<br />
ii. d2 = 2r2 atau r2 = ½ d 2<br />
iii. Lb= πr 12 = ¼ πd12<br />
iv. La= πr 22 = ¼ πd22<br />
v. L s= πp (r 1+ r 2)= ½πp (d1+ d2)<br />
vi. L p= Lb + La+ L s= πp(r 1+ r 2) + π p(r 12+ r 22)<br />
vii. V = π/3 t (r1 2+ r22 + r 1r2)</div><div style="margin-left: 18pt; text-indent: -18pt;"><br />
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<b><o:p></o:p></b></div><div style="margin-left: 18pt; text-indent: -18pt;"><b>d.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></b><span style="height: 224px; left: 0px; margin-left: 223px; margin-top: 157px; position: absolute; width: 464px; z-index: 4;"><img alt="Text Box: dengan:
R = jari-jari bola
D = diameter bola
r = jari-jari bidang lingkaran
d = diameter bidang lingkaran
h = jarak pusat bola ke bidang lingkaran
t = jarak dari pusat bidang lingkaran ke kulit bola
Lp = luas permukaan bola
Lt = luas bidang lengkung tembereng
V = volume/ isi bola
Vt = volume/ isi tembereng bola" height="224" src="file:///C:/DOCUME%7E1/ADMINI%7E1/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image009.gif" v:shapes="_x0000_s1029" width="464" /></span><b><span style="color: #e36c0a; font-size: 22pt;">Bola</span></b><br />
Dalam bola berlaku rumus-rumus:<br />
i. D = 2R atau R= ½ D<br />
ii. d = 2r atau r = ½ d<br />
iii. R2 = h2+ r 2<br />
iv. Lt = 2πRt = πDt<br />
v. L p= 4πR 2= πD2<br />
vi. V = 4π/ 3 R3= π/ 3D3<br />
vii. Vt= πt2 (3R- t)</div><div style="margin-left: 18pt; text-indent: -18pt;"><br />
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<b><span style="color: #984806; font-size: 26pt;">2. Bangun Ruang Sisi Datar</span></b><span style="color: #984806; font-size: 26pt;"><o:p></o:p></span><br />
<div style="margin-left: 18pt; text-indent: -18pt;">a.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span><b><span style="color: #00b0f0; font-size: 22pt;">Kubus</span></b><br />
Dalam kubus berlaku rumus:<br />
ds= a √2<br />
dr= a √3<br />
Lp= 6 a 2</div><div style="margin-left: 18pt;">V = a^ 3</div><div style="margin-left: 18pt;">dengan:<br />
a = panjang rusuk kubus<br />
ds = panjang diagonal sisi kubus<br />
dr = panjang diagonal ruang kubus<br />
Lp = luas permukaan kubus<br />
V = volume/ isi kubus</div><div style="margin-left: 18pt;"><br />
</div><div style="margin-left: 18pt; text-indent: -18pt;">b.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span><b><span style="color: #00b0f0; font-size: 24pt;">Balok</span></b><br />
Dalam balok berlaku rumus-rumus:<br />
d1= √ (p2 + l2)<br />
d2= √ (p2 + t2)<br />
d3= √ (l2 + t2)<br />
dr= √ (p2 + l2+ t2)<br />
Ls= 2 (p + l )t<br />
Lp= 2 (pl + pt + lt)<br />
V = plt<br />
dengan :<br />
p = panjang balok<br />
l = lebar balok<br />
t = tinggi balok<br />
d1 = panjang diagonal sisi alas/ atas<br />
d2 = panjang diagonal sisi depan/ belakang<br />
d3 = panjang diagonal sisi samping kiri/ kanan<br />
dr = panjang diagonal ruang balok<br />
Ls = luas selimut/ selubung balok<br />
Lp = luas permukaan balok<br />
V = volume/ isi balok</div><div style="margin-left: 18pt;"><br />
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</div><div style="margin-left: 18pt; text-indent: -18pt;">c.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span><b><span style="color: #00b0f0; font-size: 20pt;">Prisma Tegak</span></b><br />
Dalam prisma tegak berlaku rumus-rumus:<br />
Luas selimut/ selubung prisma tegak = keliling alas x panjang rusuk tegak</div><div style="margin-left: 18pt;">Luas permukaan prisma tegak<br />
Luas permukaan prisma tegak =<br />
luas selimut + luas bidang alas + luas bidang atas<br />
= luas selimut + 2 x luas bidang alas<br />
= luas selimut + 2 x luas bidang atas<br />
Volume prisma tegak= luas bidang bawah/ alas/ dasar x panjang rusuk tegak (tinggi)<br />
= luas bidang atas x panjang rusuk tegak (tinggi)</div><div style="margin-left: 18pt;"><br />
</div><div style="margin-left: 18pt; text-indent: -18pt;">d.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span><b><span style="color: #00b0f0; font-size: 18pt;">Limas (Piramida)</span></b><br />
Dalam limas (piramida) berlaku rumus-rumus:<br />
Luas permukaan limas = luas alas + jumlah sisi tegak = luas alas + n x luas sisi tegak<br />
Lp = Lb + n x L<br />
Volume limas = 1/3 luas alas x tinggi<br />
V = 1/3 Lb x t</div><br />
<div align="center" class="MsoNormal" style="line-height: normal; text-align: center;"><b><span style="color: #e36c0a; font-family: "Times New Roman","serif"; font-size: 26pt;">Rumus Volum</span></b></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjLNb99ml_HsvdmJer8ozmqisnYstW1N7Pb31jbtutxWJrK6Xe5OpUzDUQkYcOKCsxpmPP_XTzs6TbxFfKZcBpMOOaHcEFcUanlG3LHJb1ByFiEKw_tGUk-aDTmdIlCrcLeZ2vFEDBbBd7B/s1600/Kubus.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjLNb99ml_HsvdmJer8ozmqisnYstW1N7Pb31jbtutxWJrK6Xe5OpUzDUQkYcOKCsxpmPP_XTzs6TbxFfKZcBpMOOaHcEFcUanlG3LHJb1ByFiEKw_tGUk-aDTmdIlCrcLeZ2vFEDBbBd7B/s1600/Kubus.jpeg" /></a></div><div align="center" class="MsoNormal" style="line-height: normal; text-align: center;"><b><span style="color: #e36c0a; font-family: "Times New Roman","serif"; font-size: 26pt;"><o:p></o:p></span></b></div><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: center;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Volum Kubus<br />
</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">sisi x sisi x sisi<br />
Contoh : sisi = 10 cm<br />
Volum = 10 x 10 x 10<br />
= 1000 cm<sup>3<br />
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</sup><b>Rumus Luas permukaan</b><br />
6 x s<sup>2</sup><br />
<sup>----------------------------------------------------------------------------------------------------------------------------------------</sup></span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjchCJI462w2AkS-ITTTvV_GzN_Hb0YfMTe7zF-siX8PAz1x2XTxIi-bzE4g3KE9pyVqNqkX6ltfPx4qo4iggpFFg5_dOGamtFyNt-GUMvlGfOL0Rput-QUMxVKBy_3HuEAL-HzJ3Mh6nvQ/s1600/balok.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjchCJI462w2AkS-ITTTvV_GzN_Hb0YfMTe7zF-siX8PAz1x2XTxIi-bzE4g3KE9pyVqNqkX6ltfPx4qo4iggpFFg5_dOGamtFyNt-GUMvlGfOL0Rput-QUMxVKBy_3HuEAL-HzJ3Mh6nvQ/s1600/balok.jpeg" /></a></div><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: center;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><sup><br />
</sup></span><sup><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><o:p></o:p></span></sup></div><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: center;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus balok<br />
</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Panjang x lebar x tinggi<br />
Contoh : p = 6 cm<br />
l = 5 cm<br />
t = 4 cm<br />
Volum = 6 x5 x 4<br />
= 120 cm<sup>3<o:p></o:p></sup></span></div><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: center;"><br />
</div><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: center;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus Luas permukaan<br />
</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">L = 2 x (PxL + PxT + LxT)<br />
<br />
-------------------------------------------------------------------------------------------------</span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEifNfZ_bwKm6_kK7Lkg55WnewO7f6nTtMHlKGrrEFHuOniooQZ8JsEDkAU8lNlK50jnhlYI_CJrOTTVDjRKL3qqTHSiqd_qcOpdLEim1tJSUK8kEXGzBvj3syBnmb0jxI0WCo7O0w0xm5Uo/s1600/Prisma+Segitiga.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEifNfZ_bwKm6_kK7Lkg55WnewO7f6nTtMHlKGrrEFHuOniooQZ8JsEDkAU8lNlK50jnhlYI_CJrOTTVDjRKL3qqTHSiqd_qcOpdLEim1tJSUK8kEXGzBvj3syBnmb0jxI0WCo7O0w0xm5Uo/s1600/Prisma+Segitiga.jpeg" /></a></div><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: center;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><br />
</span><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: center;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus prisma segitiga<br />
</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">1/2 x panjang x lebar x tinggi<br />
<br />
<b>Rumus Luas permukaan</b><br />
L = 2 x luas alas + keliling alas x tiggi<br />
<br />
-------------------------------------------------------------------------------------------------</span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPR7gcz0hWKCA9ddNCI21bQvkMy-IEl0V1ekU6KABXhk9VP7C0wo4-2Ahmgufye6YJjLDO88HV5KW_UHOxHDSsCfTgBZBnbGhtSURQygl1h74vRLgAnfmHUf4cHo-yDqEAz5gpibfGxyLw/s1600/tabung.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPR7gcz0hWKCA9ddNCI21bQvkMy-IEl0V1ekU6KABXhk9VP7C0wo4-2Ahmgufye6YJjLDO88HV5KW_UHOxHDSsCfTgBZBnbGhtSURQygl1h74vRLgAnfmHUf4cHo-yDqEAz5gpibfGxyLw/s1600/tabung.jpeg" /></a></div><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: center;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><br />
</span><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: center;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Volume</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; text-align: center;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><img alt="V = \pi r^2 \cdot h" border="0" height="19" src="file:///C:/DOCUME%7E1/ADMINI%7E1/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image017.gif" v:shapes="Picture_x0020_73" width="96" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: center;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus Luas permukaan</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; text-align: center;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><img alt="L = 2\cdot LuasLingkaran + LuasSelimut" border="0" height="20" src="file:///C:/DOCUME%7E1/ADMINI%7E1/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image018.gif" v:shapes="Picture_x0020_74" width="339" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><br />
<img alt=" = 2\cdot \pi r^2 + 2 \pi r \cdot h," border="0" height="21" src="file:///C:/DOCUME%7E1/ADMINI%7E1/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image019.gif" v:shapes="Picture_x0020_75" width="157" /><o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; text-align: center;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">------------------------------------------------------------------------------------------------</span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhXkabYp2Z78S3aq2_4zCHRcukV5nPwO3wTdZ_G0Ur65A687bdwOgAjtBOT_V0vas5UDUW5xD0l78ARdV6sowzU7NAz-TYAu4kpZJhcj3xXlCGYCpxnopSTiEvmb_mwTZHeJCB3mgfVWrD/s1600/kerucut.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhXkabYp2Z78S3aq2_4zCHRcukV5nPwO3wTdZ_G0Ur65A687bdwOgAjtBOT_V0vas5UDUW5xD0l78ARdV6sowzU7NAz-TYAu4kpZJhcj3xXlCGYCpxnopSTiEvmb_mwTZHeJCB3mgfVWrD/s1600/kerucut.jpeg" /></a></div><div align="center" class="MsoNormal" style="line-height: normal; text-align: center;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><br />
</span><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; text-align: center;"><b><span style="font-family: "Times New Roman","serif"; font-size: 13.5pt;">Luas permukaan<o:p></o:p></span></b></div><div align="center" class="MsoNormal" style="line-height: normal; text-align: center;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><img alt="L = \pi r^2 + \pi\cdot r\cdot s" border="0" height="20" src="file:///C:/DOCUME%7E1/ADMINI%7E1/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image021.gif" v:shapes="Picture_x0020_77" width="151" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; text-align: center;"><a href="http://www.blogger.com/post-create.g?blogID=1296462078953249172" name="Volume"></a><b><span style="font-family: "Times New Roman","serif"; font-size: 13.5pt;">Volume<o:p></o:p></span></b></div><div align="center" class="MsoNormal" style="line-height: normal; text-align: center;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><img alt="V = \frac{1}{3}\cdot \pi r^2 \cdot t" border="0" height="41" src="file:///C:/DOCUME%7E1/ADMINI%7E1/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image022.gif" v:shapes="Picture_x0020_78" width="120" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; text-align: center;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">-------------------------------------------------------------------------------------------------</span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfTMGNKB2xFIKFc1dalvbsrX2CSlGQguK-PjqPLvw62reWmIYeXfIOjExRYe4SeKbbivzEIW_82Tm1Mg1ouRD7Sm_YMDHXVWjTikQ77_xJAKaA7O8b1ZHdA_d1e7NZvE_-RWBS5o67cX_f/s1600/segi+empat.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfTMGNKB2xFIKFc1dalvbsrX2CSlGQguK-PjqPLvw62reWmIYeXfIOjExRYe4SeKbbivzEIW_82Tm1Mg1ouRD7Sm_YMDHXVWjTikQ77_xJAKaA7O8b1ZHdA_d1e7NZvE_-RWBS5o67cX_f/s1600/segi+empat.jpeg" /></a></div><div align="center" class="MsoNormal" style="line-height: normal; text-align: center;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; text-align: center;"><b><span style="font-family: "Times New Roman","serif"; font-size: 13.5pt;">Volume<o:p></o:p></span></b></div><div align="center" class="MsoNormal" style="line-height: normal; text-align: center;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">V = 1/3 x Luas alas x tinggi<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt;"><br />
</div><div class="MsoListParagraph" style="line-height: normal; margin-left: 18pt; text-indent: -18pt;"><span style="color: #00b050; font-family: "Times New Roman","serif"; font-size: 22pt;">A.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span><span style="color: #00b050; font-family: "Times New Roman","serif"; font-size: 22pt;">RUMUS BANGUN RUANG<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt;"><span style="color: #e36c0a; font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus Kubus<br />
- Volume : Sisi pertama dikali sisi kedua dikali sisi ketiga (S pangkat 3)<br />
<br />
Rumus Balok<br />
- Volume : Panjang dikali lebar dikali tinggi (p x l x t)<br />
<br />
Rumus Bola<br />
- Volume : phi dikali jari-jari dikali tinggi pangkat tiga kali 4/3 (4/3 x phi x r x t x t x t)<br />
- Luas : phi dikali jari-jari kuadrat dikali empat (4 x phi x r x r)<br />
<br />
Rumus Limas Segi Empat<br />
- Volume : Panjang dikali lebar dikali tinggi dibagi tiga (p x l x t x 1/3)<br />
- Luas : ((p + l) t) + (p x l)<br />
<br />
Rumus Tabung<br />
- Volume : phi dikali jari-jari dikali jari-jari dikali tinggi (phi x r2 x t)<br />
- Luas : (phi x r x 2) x (t x r)<br />
<br />
Rumus Kerucut<br />
- Volume : phi dikali jari-jari dikali jari-jari dikali tinggi dibagi tiga (phi x r2 x t x 1/3)<br />
- Luas : (phi x r) x (S x r)<br />
- S : Sisi miring kerucut dari alas ke puncak (bukan tingi)<br />
<br />
Rumus Prisma Segitiga Siku-siku<br />
- Volume : alas segitiga kali tinggi segitiga kali tinggi prisma bagi dua (as x ts x tp x<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal;"><br />
</div><div class="MsoListParagraph" style="line-height: normal; margin: 0cm 0cm 0.0001pt 18pt; text-indent: -18pt;"><span style="color: #000099; font-family: "Times New Roman","serif"; font-size: 22pt;">B.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span><b><span style="color: #000099; font-family: "Times New Roman","serif"; font-size: 22pt;">Rumus Bangun Datar</span></b><span style="color: #000099; font-family: "Times New Roman","serif"; font-size: 22pt;"><o:p></o:p></span></div><ul type="disc"><li class="MsoNormal" style="color: #0033cc; line-height: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus Persegi<o:p></o:p></span></li>
</ul><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">Luas = s x s = s<sup>2</sup><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">Keliling = 4 x s<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">dengan s = panjang sisi persegi<o:p></o:p></span></div><ul type="disc"><li class="MsoNormal" style="color: #0033cc; line-height: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus Persegi Panjang<o:p></o:p></span></li>
</ul><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">Luas = p x l<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">Keliling = 2p + 2l = 2 x (p + l)<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">dengan p = panjang persegi panjang, dan l = lebar persegi panjang<o:p></o:p></span></div><ul type="disc"><li class="MsoNormal" style="color: #0033cc; line-height: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus Segitiga<o:p></o:p></span></li>
</ul><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">Luas = ½ x a x t<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">dengan a = panjang alas segitiga, dan t = tinggi segitiga<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">Panjang sisi miring segitiga siku-siku dicari dengan rumus <a href="http://id.wikipedia.org/wiki/Phytagoras" title="Phytagoras"><span style="color: #0033cc;">Phytagoras</span></a> (A<sup>2</sup> + B<sup>2</sup> = C<sup>2</sup>)<o:p></o:p></span></div><ul type="disc"><li class="MsoNormal" style="color: #0033cc; line-height: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus Jajar Genjang<o:p></o:p></span></li>
</ul><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">Luas = a x t<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">dengan a = panjang alas jajargenjang, dan t = tinggi jajargenjang<o:p></o:p></span></div><ul type="disc"><li class="MsoNormal" style="color: #0033cc; line-height: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus Trapesium<o:p></o:p></span></li>
</ul><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">Luas = ½ x (s1 + s2) x t<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">dengan s1 dan s2 = sisi-sisi sejajar pada trapesium, dan t = tinggi trapesium<o:p></o:p></span></div><ul type="disc"><li class="MsoNormal" style="color: #0033cc; line-height: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus Layang-layang<o:p></o:p></span></li>
</ul><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">Luas = ½ x diagonal (d) 1 x diagonal (d) 2<o:p></o:p></span></div><ul type="disc"><li class="MsoNormal" style="color: #0033cc; line-height: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus Belah Ketupat<o:p></o:p></span></li>
</ul><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">Luas = ½ x diagonal (d) 1 x diagonal (d) 2<o:p></o:p></span></div><ul type="disc"><li class="MsoNormal" style="color: #0033cc; line-height: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus Lingkaran<o:p></o:p></span></li>
</ul><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">Luas = π (pi) x jari-jari (r)<sup>2</sup><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><b><sup><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">RUMUS BANGUN RUANG</span></sup></b><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;"><o:p></o:p></span></div><ul type="disc"><li class="MsoNormal" style="color: #0033cc; line-height: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus Kubus<o:p></o:p></span></li>
</ul><div class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-indent: 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">- Volume : Sisi pertama dikali sisi kedua dikali sisi ketiga (S pangkat 3)<o:p></o:p></span></div><ul type="disc"><li class="MsoNormal" style="color: #0033cc; line-height: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus Balok<o:p></o:p></span></li>
</ul><div class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-indent: 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">- Volume : Panjang dikali lebar dikali tinggi (p x l x t)<o:p></o:p></span></div><ul type="disc"><li class="MsoNormal" style="color: #0033cc; line-height: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus Bola<o:p></o:p></span></li>
</ul><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">- Volume : phi dikali jari-jari dikali tinggi pangkat tiga kali 4/3 (4/3 x phi x r x t x t x t)<br />
- Luas : phi dikali jari-jari kuadrat dikali empat (4 x phi x r x r)<o:p></o:p></span></div><ul type="disc"><li class="MsoNormal" style="color: #0033cc; line-height: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus Limas Segi Empat<o:p></o:p></span></li>
</ul><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">- Volume : Panjang dikali lebar dikali tinggi dibagi tiga (p x l x t x 1/3)<br />
- Luas : ((p + l) t) + (p x l)<o:p></o:p></span></div><ul type="disc"><li class="MsoNormal" style="color: #0033cc; line-height: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus Tabung<o:p></o:p></span></li>
</ul><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">- Volume : phi dikali jari-jari dikali jari-jari dikali tinggi (phi x r2 x t)<br />
- Luas : (phi x r x 2) x (t x r)<o:p></o:p></span></div><ul type="disc"><li class="MsoNormal" style="color: #0033cc; line-height: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus Kerucut<o:p></o:p></span></li>
</ul><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0.0001pt 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">- Volume : phi dikali jari-jari dikali jari-jari dikali tinggi dibagi tiga (phi x r2 x t x 1/3)<br />
- Luas : (phi x r) x (S x r)<br />
- S : Sisi miring kerucut dari alas ke puncak (bukan tingi)<o:p></o:p></span></div><ul type="disc"><li class="MsoNormal" style="color: #0033cc; line-height: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Rumus Prisma Segitiga Siku-siku<o:p></o:p></span></li>
</ul><div class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-indent: 36pt;"><span style="color: #0033cc; font-family: "Times New Roman","serif"; font-size: 12pt;">- Volume : alas segitiga kali tinggi segitiga kali tinggi prisma bagi dua (as x ts x tp<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal;"><br />
</div><div class="MsoNormal"><br />
</div></div>PioManhttp://www.blogger.com/profile/13207171635273982489noreply@blogger.com1Sulawesi, Indonesia-1.8479079 120.52790959999993-6.1050754000000005 117.17698209999993 2.4092596000000004 123.87883709999993