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McGraw Hill Integrated II, 2012 View details

5. Volumes of Pyramids and Cones

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Exercise 45 Page 847

Use the formula for the volume of the prism.

1008in^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 using the given dimensions.

B=l w

SubstituteII

l= 14, w= 12

B= 14( 12)

Multiply

B=168

We found that the base area is 168in^2. We are given that the height equals 6in. Let's substitute these values into the volume formula.

V=Bh

SubstituteII

B= 168, h= 6

V= 168( 6)

Multiply