Rajasthan BoardEnglish MediumSTD 9MATHSVolume and Surface Area1 Mark
MCQ
The volume of a cube is $512\ cm^3.$ Its total surface area is:
A
$256\ cm^2$
✓
$384\ cm^2$
C
$512\ cm^2$
D
$64\ cm^2$
✓
Answer
Correct option: B.
$384\ cm^2$
Volume of the cube $= a^3$
$\Rightarrow 512 = a^3$
$\Rightarrow a = 8\ cm$
Now,
Total surface area of a cube $= 6a^2$
$= 6 \times (8)^2$
$= 6 \times 64$
$= 384\ cm^2$
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