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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 3 Page 844

Use the formula for volume of a pyramid.

62.4 m^3

Practice makes perfect

The volume of a pyramid can be calculated using a known formula. V=1/3BhIn this formula B is the area of the base, and h is the height. In our exercise we are given the dimensions of the rectangular pyramid. This means that the base of this pyramid is a rectangle. Therefore, we can find the area of the base by multiplying the given dimensions of the base. B=8 * 4.5 ⇕ B=36 m^2 The area of the base is 36 square meters. We are also given that the height is 5.2m. Let's substitute these values into the volume formula.

V=1/3Bh

B= 36, h= 5.2

V=1/3( 36)( 5.2)

▼

Simplify right-hand side

Multiply

V=1/3(187.2)

MoveRightFacToNumOne

1/b* a = a/b

V=187.2/3

Calculate quotient

V=62.4

The volume of the pyramid is 62.4 m^3.

Subchapter links

Exercises p.844-847