Exercise 19 Page 659

We are given a square pyramid with a volume of 297 cubic feet and we know that the base's area is 81 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 297 for the volume V, and 81 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= 297, B= 81

297=1/3( 81)h

MoveRightFacToNumOne

1/b* a = a/b

297 = 81/3h

CalcQuot

Calculate quotient

297 = 27h

DivEqn

.LHS /27.=.RHS /27.

297/27 = h

CalcQuot

Calculate quotient

11 = h

RearrangeEqn

Rearrange equation

h = 11

The height is 11 feet.