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# expression

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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.

Mar 10, 2021

Volume of the pyramid = $$\frac{1}{3} \cdot b^2h$$
$$\frac{1}{3} \cdot (1.5b)^2h = \frac{1}{3} \cdot 2.25b^2h = \frac{3}{4}\cdot b^2h$$