# The volume of a cube whose surface area is 96 cm2, is - Mathematics

MCQ

The volume of a cube whose surface area is 96 cm2, is

#### Options

• 16sqrt(2) cm^3

• 32 cm3

• 64 cm3

•  216 cm3

#### Solution

Let,

a → Side of the cube

V → Volume of the cube

A → Surface area of the cube

We have,

A = 96 cm^2

6a^2 = 96`                   { Since ,A = 6a}

a = 4 cm

So,

V = a3

=43

=64 cm3

Thus, volume of the cube is 64 cm3.

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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Q 5.2 | Page 35