Question

The volume of the pyramid shown in the figure is cubic centimeters. If the slant height of the pyramid increases by 4 centimeters and its height increases by 2 centimeters, the volume of the pyramid increases by cubic centimeters.

Answer 1

You will need the figure to have the exact values, and also the base of the pyramid. Then only you can find volume, and the increase in volume. However, you can also plug in the new height and slant height as \(h_1+2\) and \(s_1+4\), then apply the pythagorean theorem and solve as you would. Then you can find the change in the volume, but not the new volume.