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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Similar questions

96 c m^{2}

8 c m^{3}

512 c m^{3}

64 c m^{3}

27 c m^{3}

Question 11

The volume of a cube is $64 c m^{3} .$ Its surface area is
(a) $16 c m^{2}$ (b) $64 c m^{2}$
(c) $96 c m^{2}$ (d) $128 c m^{2}$

96 c m^{2}

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) $256 m^{3}$

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