Question

If you double the length of the edge of a cube, the new cube will have a volume that is four times the volume of the original cube."

a. True.
b. False.

Answer 1

Doubling the edge length of a cube increases its volume by a factor of eight, not four, because the volume of a cube is calculated by cubing the edge length.

Step-by-step explanation:

The statement is false. When you double the length of each edge of a cube, the new volume is not four times the original volume, it is actually eight times larger. This is because the volume of a cube is calculated by cubing the edge length. For example, if the original cube has an edge length 'L', its volume is L x L x L or L³. If we double the edge length to '2L', the new volume becomes (2L) x (2L) x (2L) or 8L³, which is eight times the original volume, not four. Therefore, doubling the edge length of a cube increases its volume by a factor of eight.