Question

The solid below is dilated by a scale factor of 2. Find the volume of the solid created upon dilation. The numbers for the shape are 7, 5, and 5.

Answer 1

If the original solid has linear dimensions 7, 5, and 5, its volume is 7·5·5 = 175. A dilation by factor 2 multiplies all linear measures by 2, so volumes scale by 2^3 = 8.

New volume = 175·8 = 1400 cubic units.