Glencoe Math: Course 2, Volume 2
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Glencoe Math: Course 2, Volume 2 View details
4. Volume of Prisms
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Exercise 13 Page 645

Use the formula for the volume of a prism.

20.4 cubic millimeters

Practice makes perfect

The given solid is a triangular prism.

The volume of a prism can be calculated using the following formula. V= B h Here, B is the area of a prism's base and h is the prism's height. Note that the base is a right triangle, so we can calculate its area using the formula for area of a triangle.
B=1/2bh
B=1/2( 2.5)( 3.4)
Simplify right-hand side
B=8.5/2
B= 4.25
The area of the base is 4.25 square millimeters. The prism's height equals 4.8 millimeters. Let's substitute these values into the formula and solve for V.
V=Bh
V=( 4.25)( 4.8)
V=20.4
The volume of the prism is 20.4 cubic millimeters.