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.

check the picture below.

now, if the width and length of the base are increased by 50%, then that means the sides are (150/100) * length and (150/100) * width, or 1.5 of each.

[tex]\bf A=\cfrac{1}{3}Bh\quad \begin{cases} B=l\cdot w\\ l=1.5l\\ w=1.5w\\ -----\\ 1.5l\cdot 1.5w\\ 1.5(lw)\\ 1.5B \end{cases}\implies A=\cfrac{1}{3}\cdot 1.5Bh\implies A=\cfrac{1}{3}\cdot \cfrac{15}{10}Bh \\\\\\ A=\cfrac{15}{30}Bh\implies A=\cfrac{1}{2}Bh[/tex]