Question 2
The total surface area of a cube is $96 c m^{2}$ . The volume of the cube is:

A) $8 c m^{3}$
B) $512 c m^{3}$
C) $64 c m^{3}$
D) $27 c m^{3}$

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Solution

Total surface area of a cube $= 96 c m^{2}$

Total surface area of a cube $= 6 (S i d e)^{2} = 96 c m^{2}$

$\Rightarrow (S i d e)^{2} = 16 c m^{2}$

$\Rightarrow S i d e = 4 c m$

[taking positive square root because side is always a positive quantity]

$∴$ Volume of cube $= (S i d e)^{3} = (4 c m)^{3} = 64 c m^{3}$

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The total surface area of a cube is $96 c m^{2}$ . The volume of the cube is:

16 \sqrt{2} c m^{3}

Question 7
The lateral surface area of a cube is $256 m^{2}$ . The volume of the cube is:

A) $512 m^{3}$
B) $64 m^{3}$
C) $216 m^{3}$
D) $256 m^{3}$

The volume of a cube of side $\frac{9}{2}$ cm is ______.

The total surface area of a cube is 150 cm². Its volume is
(a) 216 cm³
(b) 125 cm³
(c) 64 cm³
(d) 1000 cm³

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