Find the height of a square pyramid that has a volume of 75 cubic feet and a base length of 5 feet. A:5 feet B:9 feet C:25 feet D:45 feet

B

Step-by-step explanation:

The volume of a square pyramid can be found using:

v=1/3 bh

Where b is the area of the base, and h is the height

First, let's find the area of the base

a=l*l

We know the length is 5, so we can substitute it in

a=5*5

a=25

Now we know b(area), is 25, and we know the volume is 75, so we can substitute them in

v=1/3 bh

75=1/3(25)h

Divide both sides by 1/3, or multiply both sides by the reciprocal, 3/1

225=25h

Divide both sides by 25

h=9

So, the height is 9 feet , or choice B