Exercise 21 Page 659

We are given a square pyramid with a volume of 550 cubic inches and we know that the base's area is 75 square inches. Let's first recall the formula for the volume of a pyramid. V=1/3Bh Here, B is the area of the base, and h is the height of the pyramid. Let's substitute 550 for the volume V, and 75 for the base's area B in the formula for the volume of a pyramid. That way, we will get an equation for h. Then, let's solve this equation!

V=1/3Bh

SubstituteII

V= 550, B= 75

550=1/3( 75)h

MoveRightFacToNumOne

1/b* a = a/b

550 = 75/3h

CalcQuot

Calculate quotient

550 = 25h

DivEqn

.LHS /25.=.RHS /25.

550/25 = h

CalcQuot

Calculate quotient

22 = h

RearrangeEqn

Rearrange equation

h = 22

The height is 22 inches.