Question

The total surface area of cube is 96 cm² , then it’s volume is 

A) 8 cm³ 

B) 27 cm³ 

C) 64 cm³ 

D) 125 cm³

Answer 1

Correct option is (C) 64 cm³

Let side length of cube is a cm.

\(\therefore\) \(6a^2=96\)    \((\because\) Total surface area of cube is \(6a^2)\)

\(\Rightarrow\) \(a^2=\frac{96}6=16=4^2\)

\(\Rightarrow\) a = 4

\(\therefore\) Volume of cube \(=a^3\)

\(=4^3\) \(=64\,cm^3\)

Answer 2

Correct option is  C) 64 cm³