A cube has an edge length of 5 inches. You triple the side lengths. How many times greater is the volume of the new cube?

Edge length of the side of a cube = 5 inches

Then

Volume of the cube = (side) ^3

= (5) ^3

= 125 inches ^3

So the volume of the actual cube is 125 inches^3

Now after the side lengths are triple, then

New edge length of each side = 3 * 5 inches

= 15 inches

Then

New volume of the cube = (New side) ^3

= (15) ^3

= 3375 inches^3

Then the volume of the new cube is 3375 inches^3

So

The number of times the volume of the new cube is greater = 3375/125

= 27

So the volume of the new cube is 27 times greater than the old cube.