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.