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 14 Page 844

Use the formula for the volume of a pyramid.

1376.7 ft^3

Practice makes perfect

The volume of a pyramid can be calculated using a known formula. In this formula B is the area of the base, and h is the height of a pyramid. V=1/3Bh In our exercise we are given that the base area is 590ft^2 and an altitude is 7 ft. Let's substitute these values into the formula and calculate V.

V=1/3Bh
V=1/3( 590)( 7)
â–¼
Simplify right-hand side
V=4130/3
V=1376.666...
V≈ 1376.7

The volume of the pyramid is approximately 1376.7 ft^3.