Surface Areas and Volumes — Maths STD 9 — Question
Gujarat BoardEnglish MediumSTD 9MathsSurface Areas and Volumes1 Mark
MCQ
The total surface area of a cube is $96 \ cm^2$. Find its lateral surface area.
A
$27 cm^2$
B
$512 cm^2$
C
$32 cm^2$
✓
$64 cm^2$
✓
Answer
Correct option: D.
$64 cm^2$
Total surface area of cube $=6 a ^2 ($let a be a side of cube$)$
So, $6 a^2=96$,
$a ^2=\frac{96}{6}$
$=16$
$a =4 \ cm$
Now, lateral surface area of cube is $4 a^2$
So, $4 a^2=4 \times(4)^2$
$=4 \times 16$
$=64 \ cm^2$
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