The volume of a square pyramid varies jointly with its height and the square of its base side length. A square pyramid with a height of 10 meters and base side length 3 meters has a volume of 30 cubic meters. What is the height in meters of a square pyramid whose volume is 24 cubic meters and whose base has side length 6 meters?

Question

stacey · Answer

Actually, the volume of a pyramid is 1/3 of base area times height.
24 = 36h/3, so h=2 meters.

Since this problem mentions varies jointly, you're probably not supposed to use the formula for a pyramid, but the formula for varying jointly:|dw:1340578630624:dw|