Exercise 14 Page 658

We want to find the volume of a rectangular pyramid. The base is 18 inches by 30 inches wide. The pyramid's height is 36 inches. 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 18 inches by 30 inches rectangle. Its area B is a product of these sides, so it equals 18 ( 30) = 540 square inches. The height h is 36 inches. Let's substitute these values into the formula and calculate V.

V=1/3Bh

SubstituteII

B= 540, h= 36

V=1/3( 540)( 36)

▼

Simplify right-hand side

MoveRightFacToNumOne

1/b* a = a/b

V=540/3(36)

CalcQuot

Calculate quotient

V = 180(36)

Multiply

Multiply

V=6480

The volume of the pyramid is 6480 cubic inches. Out of the given estimates, the volume is closest to 6500 cubic inches. Therefore, answer C is correct.