Diketahui dua buah kubus mempunyai volume 216 cm persegi dan 512 sm persegi. perbandingan luas permukaan kedua kubus tersebut adalah...
a.12 :16
b.10:16
c. 9:16
d. 7:16
please bantu sama caranya...
a.12 :16
b.10:16
c. 9:16
d. 7:16
please bantu sama caranya...
fatihahalhusna
![\bold{Diketahui:}\\V_1=216\ cm^3\\S_1=\sqrt [3] {216}=6\ cm\\\\V_2=512\ cm^3\\S_2=\sqrt [3] {512}=8\ cm\\\\\bold{Ditanya:}\\L_{p1}:L_{p2}=---?\\\\\bold{Jawab:}\\\\\displaystyle \frac{L_{p1}}{L_{p2}}=\frac{6S_1^2}{6S_2^2}=\left(\frac{6}{8}\right)^2=\frac{9}{16}\\\\\text{Jadi perbandingan luas permukaan kedua kubus: }\boxed{\boxed{\bold{9:16}}}](https://tex.z-dn.net/?f=%5Cbold%7BDiketahui%3A%7D%5C%5CV_1%3D216%5C+cm%5E3%5C%5CS_1%3D%5Csqrt+%5B3%5D+%7B216%7D%3D6%5C+cm%5C%5C%5C%5CV_2%3D512%5C+cm%5E3%5C%5CS_2%3D%5Csqrt+%5B3%5D+%7B512%7D%3D8%5C+cm%5C%5C%5C%5C%5Cbold%7BDitanya%3A%7D%5C%5CL_%7Bp1%7D%3AL_%7Bp2%7D%3D---%3F%5C%5C%5C%5C%5Cbold%7BJawab%3A%7D%5C%5C%5C%5C%5Cdisplaystyle+%5Cfrac%7BL_%7Bp1%7D%7D%7BL_%7Bp2%7D%7D%3D%5Cfrac%7B6S_1%5E2%7D%7B6S_2%5E2%7D%3D%5Cleft%28%5Cfrac%7B6%7D%7B8%7D%5Cright%29%5E2%3D%5Cfrac%7B9%7D%7B16%7D%5C%5C%5C%5C%5Ctext%7BJadi+perbandingan+luas+permukaan+kedua+kubus%3A+%7D%5Cboxed%7B%5Cboxed%7B%5Cbold%7B9%3A16%7D%7D%7D "\bold{Diketahui:}\\V_1=216\ cm^3\\S_1=\sqrt [3] {216}=6\ cm\\\\V_2=512\ cm^3\\S_2=\sqrt [3] {512}=8\ cm\\\\\bold{Ditanya:}\\L_{p1}:L_{p2}=---?\\\\\bold{Jawab:}\\\\\displaystyle \frac{L_{p1}}{L_{p2}}=\frac{6S_1^2}{6S_2^2}=\left(\frac{6}{8}\right)^2=\frac{9}{16}\\\\\text{Jadi perbandingan luas permukaan kedua kubus: }\boxed{\boxed{\bold{9:16}}}")
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