The total surface area of a cube is 96 cm2. The volume of the cube is:

1.	The total surface area of a cube is 96 cm2. The volume of the cube is:(A) 8 cm3 (B) 512 cm3 (C) 64 cm3 (D) 27 cm3
Answer» (C) 64 cm³ Explanation: The surface area of a cube is 96 cm² Let the length of the cube is l cm. Thus, 6 × l² = 96 According to formula l²= 96/6 l² = 16 l = 4 Thus the length of the cube is 4 cm. Volume of a cube = l³ = 4³ = 64 Thus volume is 64 cm³ which is option c. Hence, option C is the correct answer.

The total surface area of a cube is 96 cm2. The volume of the cube is:(A) 8 cm3 (B) 512 cm3 (C) 64 cm3 (D) 27 cm3

Answer»

(C) 64 cm³

Explanation:

The surface area of a cube is 96 cm²

Let the length of the cube is l cm.

Thus,

6 × l² = 96

According to formula

l²= 96/6

l² = 16

l = 4

Thus the length of the cube is 4 cm.

Volume of a cube = l³

= 4³

= 64

Thus volume is 64 cm³ which is option c.

Hence, option C is the correct answer.