Surface Areas and Volumes — Maths STD 9 — Question
Gujarat BoardEnglish MediumSTD 9MathsSurface Areas and Volumes1 Mark
MCQ
The volume of a cube a cube whose surface area is $96\ cm^2$, is:
A
$16\sqrt{2}\text{cm}^3$
B
$32cm^3$
✓
$64cm^3$
D
$216cm^3$
✓
Answer
Correct option: C.
$64cm^3$
Let,
$a \rightarrow$ Side of the cube
$V \rightarrow$ Volume of the cube
A $\rightarrow$ Surface area of the cube
We have,
$A=96 \ cm^2$
$6 a^2=96\{$Since, $A=6 a^2\}$
$a=4 \ cm$
So,
$V=a^3$
$=4^3$
$=64 \ cm^3$
Thus, volume of the cube is $64 \ cm^3$.
Hence, the correct choice is $(c).$
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