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.

options; 9,15,21,63

options; 6,9,12,21

Can't see the figure, but the basic way to solve this problem is to use the formula for volume of a pyramid which is (length * width * height) / 3. Slant height is just the square root of ((length/2) 2 + height2) recognizing that there is a right triangle there. Since slant height increased by 4 cm when its height increased by 2cm, you know that the length/2 term had to increase by the square root of 12 (22+root (12) 2) = 42=16. From there you can figure out the rest pretty readily.