Exercise 5 Page 656

We want to find the volume of the Transamerica Pyramid. We know that it is a rectangular pyramid. The base's length is 175 feet long and 120 feet wide. The pyramid's height is 853 feet. We can calculate the volume of a pyramid using the following formula. V=1/3Bh Here, B is the area of the base, and h is the height. The base of our pyramid is a 175 feet by 120 feet rectangle. Its area B is a product of these sides, 175 ( 120) = 21 000 square feet. The height h is 856 feet. Let's substitute these values into the formula and calculate V.

V=1/3Bh

SubstituteII

B= 21 000, h= 853

V=1/3( 21 000)( 853)

▼

Simplify right-hand side

MoveRightFacToNumOne

1/b* a = a/b

V=21 000/3(853)

CalcQuot

Calculate quotient

V = 7000(853)

Multiply

Multiply

V=5 971 000

The volume of the Transamerica Pyramid is 5 971 000 cubic feet.