2. The total surface area of a cube is 96 cm2. Find the volume of cube.

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Solution

Dear Student,

$T o t a l s u r f a c e A r e a o f C u b e = 96 c m^{2} T o t a l s u r f a c e A r e a o f C u b e = 6 \times {(s i d e)}^{2} 96 = 6 \times {(s i d e)}^{2} {(s i d e)}^{2} = \frac{96}{6} {(s i d e)}^{2} = 16 s i d e = \sqrt{16} = 4 c m V o l u m e o f c u b e = {(s i d e)}^{3} V o l u m e o f c u b e = 4 \times 4 \times 4 V o l u m e o f c u b e = = 64 c m^{3}$

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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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