The height of a square pyramid is one half the length of each side. The volume of the pyramid is 4,500 inches cubed. What is the height of the pyramid

45 in

Step-by-step explanation:

Base area of a square pyramid is given by

B=a*a=a²

Where a is the length of each side of the base

Volume of a square pyramind is given by

V=⅓Bh

Where h is the height

Given that height is 1.5a then B is a²

V=⅓*a²*1.5a=0.5a³

Given that the volume is 4500 in³

0.5a³=4500

a³=9000

a=3√9000=30

Since height is 1.5a then h=1.5*30=45 in