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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 47 Page 847

Use the formula for the volume of the prism.

426 437.6m^3

Practice makes perfect

The volume of a prism can be calculated using the following formula. In this formula B is the base area, and h is the height of a prism. V=BhIn our exercise the base of the prism is a rectangle. Let's calculate its area by substituting the appropriate dimensions.

B=l w

l= 79.4, w= 52.5

B= 79.4( 52.5)

Multiply

B=4168.5

We found that the base area is 4168.5 m^2. We are also given that the height equals 102.3m. Let's substitute these values into the volume formula.

V=Bh

B= 4168.5, h= 102.3

V= 4168.5( 102.3)

Multiply

V=426 437.55

Round to 1 decimal place(s)

V=426 437.6

The volume of the prism is 426 437.6m^3.

Subchapter links

Exercises p.844-847