Question

If the length width and height of a cube all quadruple what happened to the volume of the cube

Answer 1

Volume will be multiplied by 64.

Explanation:

We are to find the effect of quadrupling the length, width and height of a cube on its volume.

Since the length, width and height of a cube are all of the same dimension, let us represent it was a variable
`S`.

`V o l u m e = S ^ 3`

`New Volume = (4S)^3 =64S^3`

Therefore, if the length width and height of a cube all are quadrupled, the volume will be 64 times.

Answer 2

if the length, width and height of a cube quadruple, then the volume of the cube will be multiplied by 64.

Explanation:

Given a cube of width W, height H and length L, the volume of the cube will be: Volume = W*H*L

If all the three parameters quadruple, then:

New Width = 4W

New Height = 4H

New Length = 4L

New Volume = 4W*4H*4L = 64WHL

Therefore, if the length, width and height of a cube quadruple, then the volume of the cube will be multiplied by 64.