How has the volume changed if the sides on a cube are doubled?

Answer 1

If every side (face) of the cube is doubled (meaning both width and height of cube are doubled), then the volume is increased by a factor of 8. In other words:

If v is the original volume...

v = l * w * h

and length (l), width (w), and height (h) all double, (V is the new volume

V = (2 * l) * (2 * w) * (2 * h)

= l * w * h * 2 * 2 * 2

= l * w * h * 8

= v * 8