The total surface area of a cube is 96 cm2.

Question:

The total surface area of a cube is 96 cm2. The volume of the cube is
(a) 8 cm3
(b) 27 cm3
(c) 64 cm3
(d) 512 cm3

Solution:

(c) $64 \mathrm{~cm}^{3}$

Let a cm be the edge of the cube.
We have:

$6 a^{2}=96$

$\Rightarrow a^{2}=16$

$\Rightarrow a=4 \mathrm{~cm}$

$\therefore$ Volume of the cube $=a^{3} \mathrm{~cm}^{3}=4^{3} \mathrm{~cm}^{3}=64 \mathrm{~cm}^{3}$

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