If the length, width, and height of a cube all change by a factor of 9, what happens to the volume of the cube?

the volume will also increase by the factor of 9

The volume will increase 729 fold.

Step-by-step explanation:

If the length, width, and height of a cube all change by a factor of 9.

The answer is 729 fold, or 9 cubed.

As if original length is l

The original width is w

And original height is h

Volume = l x w x h

But when all change by a factor of 9, we get

9l x 9w x 9h

= 729 fold

Therefore, the volume will increase 729 fold.