The total surface area of a cube is 96 cm2 , then its volume is A) 27

1.	The total surface area of a cube is 96 cm2 , then its volume is A) 27 cm3 B) 64 cm3 C) 512 cm3 D) 8 cm3
Answer» Correct option is (B) 64 cm³ Let side of cube is a. \(\therefore6a^2=96\) \((\because\) Total surface area of cube \(=6a^2)\) \(\Rightarrow a^2=\frac{96}6=16=4^2\) \(\therefore\) a = 4 cm Volume of cube \(=4^3=64\,cm^3\) Correct option is B) 64 cm³

The total surface area of a cube is 96 cm2 , then its volume is A) 27 cm3 B) 64 cm3 C) 512 cm3 D) 8 cm3

Answer»

Correct option is (B) 64 cm³

Let side of cube is a.

\(\therefore6a^2=96\) \((\because\) Total surface area of cube \(=6a^2)\)

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

\(\therefore\) a = 4 cm

Volume of cube \(=4^3=64\,cm^3\)

Correct option is B) 64 cm³