Exercise 24 Page 660

We want to find the height of the following pyramid.

It is a rectangular pyramid with a volume of 1560 cubic inches. The base's edge is 13 inches and the base's length is 15 inches. We want to find the height of this pyramid. 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. Since the base is a rectangle, the base's area B is the product of the base edge and the base's length. Let's find this area! B = 13( 15) = 195 The base's area is 195 square inches. Our pyramid has a volume of 1560 cubic inches. Let's substitute this values into 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= 1560, B= 195

1560=1/3( 195)h

MoveLeftFacToNumOne

a* 1/b= a/b

1560=195/3h

CalcQuot

Calculate quotient

1560=65h

DivEqn

.LHS /65.=.RHS /65.

1560/65 = h

CalcQuot

Calculate quotient

24 = h

RearrangeEqn

Rearrange equation

h = 24

The height is 24 inches. Therefore, answer B is correct.