McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
4. Volumes of Prisms and Cylinders
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Exercise 13 Page 834

Use the formula for the volume of the prism.

58.14ft^3

Practice makes perfect

The given solid is a prism.

The volume of a prism can be calculated using the following formula, where B is the area of the base and h is the height. V=Bh By the Cavalieri's Principle, the formula still holds true for oblique prisms. We can see from the diagram that the base area of the prism is 11.4ft^2 and its height equals 5.1ft. Let's substitute these values into the formula and solve for V.
V=Bh
V=( 11.4) ( 5.1)
V=58.14
The volume of the prism is 58.14ft^3.