Question

what will happen if volume of cube of each of its side is doubled​

Answer 1

Answer:

The volume of the new cube will be 8 times the volume of original cube.

Explanation:

Given that each side of a cube is doubled, we need to find what happens to the volume of the cube.

let original side of cube = x

Volume of a cube = ( Side )³

Volume of the cube = x³

If the side of a cube is doubled,

Length of new sides of the cube = 2 × original side = 2x

Volume of the new cube = ( side )³

Volume of the new cube = (2x )³

Volume of the new cube = 8x³

Comparing volume of new cube to the volume of original cube .

⟹ 8x³/x³

⟹ 8

The volume of the cube will increase by the factor of 8.

Answer 2

Answer:

The volume of the new cube will be 8 times the volume of original cube.

Explanation:

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Given that each side of a cube is doubled, we need to find what happens to the volume of the cube.

let original side of cube = x

Volume of a cube = ( Side )³

Volume of the cube = x³

If the side of a cube is doubled,

Length of new sides of the cube = 2 × original side = 2x

Volume of the new cube = ( side )³

Volume of the new cube = (2x )³

Volume of the new cube = 8x³

Comparing volume of new cube to the volume of original cube .

⟹ 8x³/x³

⟹ 8

The volume of the cube will increase by the factor of 8.