A square pyramid has a height h and a base with side length b. The side lengths of the base increase by 50%. Write a simplified
expression that represents the volume of the new pyramid in terms of b and h.
1 answer:
The general formula for the volume of a square pyramid is
V = (1/3)b^2 h
If b increase by 50% their new length = 3b/2
Therefore the volume of the new pyramid is
V = (1/3) (3b/2)^2 h
= (1/3) 9b^2 / 4 h
= 3/4b^2 h Answer
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