Exercise 22 Page 659

We are given a rectangular pyramid with a volume of 3800 cubic meters and we know that the base's area is 300 square meters. 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 3800 for the volume V, and 300 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= 3800, B= 300

3800=1/3( 300)h

MoveRightFacToNumOne

1/b* a = a/b

3800 = 300/3h

CalcQuot

Calculate quotient

3800 = 100h

DivEqn

.LHS /100.=.RHS /100.

3800/100 = h

CalcQuot

Calculate quotient

38 = h

RearrangeEqn

Rearrange equation

h = 38

The height is 38 meters.