The total surface area of cube is 96 cm2 , then it’s volume is A) 8

1.	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» 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 \(=a^3\) \(=4^3\) \(=64\,cm^3\) Correct option is C) 64 cm³

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»

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 \(=a^3\)

\(=4^3\) \(=64\,cm^3\)

Correct option is C) 64 cm³