McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
5. Volumes of Pyramids and Cones
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Exercise 1 Page 844

Use the formula for the volume of a pyramid.

75 in^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. Let's find the area of the base of the given pyramid. From the diagram we can see that the base is a right triangle with legs of lengths 5inches and 9inches. Recall that in the right triangle the area equals half of the product of the legs. B=1/2( 5)( 9) ⇕ B=22.5 in. The base of our pyramid is 22.5 inches. We are also given that the height is 10in. Let's substitute these values into the volume formula.
V=1/3Bh
V=1/3( 22.5)( 10)
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Simplify right-hand side
V=1/3(225)
V=225/3
V=75
The volume of the pyramid is 75 in^3.