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  • The total surface area of a cube is 96 cm 3 The volume of the cube is A 8 cm 3 B 512 cm 3 C 64 cm 3 D 27 cm 3

The total surface area of a cube is 96\; \text {cm}^{3}. The volume of the cube is:

(A) 8\; \text {cm}^{3}

(B) 512\; \text {cm}^{3}

(C) 64\; \text {cm}^{3}

(D) 27\; \text {cm}^{3}

 

Answers (1)

We know that the total surface area of cube is given as 6a^{2} (where a is the side length of the cube)

Here we have been given that total surface area =96\; cm^{2}

So, 6a^{2}=96\; cm^{2}

          a^{2}=\frac{96}{6}=16

          a=4\; cm

Now we know that volume of a cube =\left ( side\; length \right )^{3}

Volume =a^{3}=\left ( 4 \right )^{3}=64\; cm^{3}

So, option (C) is the correct answer.

Posted by

infoexpert23

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