Respuesta :

Answer:

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

Step-by-step 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.

Answer:

Volume will be multiplied by 64.

Step-by-step 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 [tex] S [/tex].

[tex] V o l u m e = S ^ 3 [/tex]

[tex]New Volume = (4S)^3 =64S^3[/tex]

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