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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

5. Volumes of Pyramids and Cones

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Exercise 42 Page 847

Use the formula for the volume of a pyramid.

5.5 feet

Practice makes perfect

A tent can be modeled by the following rectangular pyramid.

We want to find the height h if we know that the volume of the pyramid is V= 88 cubic feet. Since the base is 6 feet by 8 feet, the area of the base is B=6* 8= 48 square feet. Now, let's use the formula for the volume of a pyramid.

V=1/3 Bh

V= 88, B= 48

88=1/3( 48)h

▼

Solve for h

MoveRightFacToNumOne

1/b* a = a/b

88=48h/3

Calculate quotient

88=16h

.LHS /16.=.RHS /16.

88/16=h

a/b=.a /8./.b /8.

11/2=h

Rearrange equation

h=11/2

Calculate quotient

h=5.5

Therefore, the height of the pyramid — the height of the tent's center pole — is 5.5 feet.

Subchapter links

Exercises p.844-847