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

8 c m^{3}

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512 c m^{3}

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64 c m^{3}

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27 c m^{3}

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Solution

The correct option is C $64 c m^{3}$
$Total surface area of cube of side 'a' is given by 6 a^{2} . Given, TSA = 96 {cm}^{2}$
$⟹ 6 a^{2} = 96 ⟹ 6 a^{2} = 96 \div 6 = 16$
$∴ a = \sqrt{16} = 4 cm Hence, volume of cube = a^{3} = (4)^{3} = 64 {cm}^{3}$

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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) $128 c m^{2}$

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