Q1 of 239 Page 45

Choose the correct answer for the following:
The volume of a cube is 64 cm³. The side of the cube is

We know that the Volume of a cube = a³ where a is the side of the cube.

But given Volume of cube = 64 cm³

⇒ a³ = 64

Prime Factorization of 64:

⇒ 64 = 2 × 2 × 2 × 2 × 2 × 2

= 2³ × 2³

= 4³

∴ a³ = 4³

Powers are equal, so bases must be equated.

∴ a = 4 cm (Side of the cube)

Choose the correct answer for the following:

Find the smallest number by which the number 108 must be multiplied to obtain a perfect cube

Choose the correct answer for the following:

Find the smallest number by which the number 88 must be divided to obtain a perfect cube

Choose the correct answer for the following:

Which of the following is false?

Check whether the following are perfect cubes?

400

Questions · 239

1. Real Number System

1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 5 5 6 6 1 1 1 1 2 2 2 2 3 3 3 3 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 1 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 1 1 1 1 1 1 1 2 3

Choose the correct answer for the following:The volume of a cube is 64 cm3. The side of the cube is