Exercise 20 Page 659

We are given a hexagonal pyramid with a volume of 1320 cubic feet and we know that the base's area is 120 square feet. 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 1320 for the volume V, and 120 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= 1320, B= 120

1320=1/3( 120)h

MoveRightFacToNumOne

1/b* a = a/b

1320 = 120/3h

CalcQuot

Calculate quotient

1320 = 40h

DivEqn

.LHS /40.=.RHS /40.

1320/40 = h

CalcQuot

Calculate quotient

33 = h

RearrangeEqn

Rearrange equation

h = 33

The height is 33 feet.