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

Solution:

Given, the total surface area of a cube is 96 cm²

We have to find the volume of the cube

Total surface area of cube = 6a²

Where, a is the length of the side of a cube

Now, 6a² = 96

a² = 96/6

a² = 16

Taking square root,

a = 4 cm

Volume of the cube = a³

= (4)³

= 64 cm³

Therefore, the volume of the cube is 64 cm³

✦ Try This: The total surface area of a cube is 54 cm² . The volume of the cube is

Given, the total surface area of a cube is 54 cm²

We have to find the volume of the cube

Total surface area of cube = 6a²

Where, a is the length of the side of a cube

Now, 6a² = 54

a² = 54/6

a² = 9

Taking square root,

a = 3 cm

Volume of the cube = a³

= (3)³

= 27 cm³

Therefore, the volume of the cube is 27 cm³

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 13

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NCERT Exemplar Class 9 Maths Exercise 13.1 Problem 2

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

Summary:

The total surface area of a cube is 96 cm² . The volume of the cube is 64 cm³

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