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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
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