Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
1. Volume of Cylinders
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Exercise 27 Page 596

Recall the formula for the volume of a prism.

539 m^3

Practice makes perfect

Let's see the given measurements on the triangular prism.

The base of the prism is a right triangle. The legs of this triangle are a= 7meters and b= 11 meters long. Therefore we can calculate the area B of the base using the formula for area of a triangle. B = 1/2 a b Let's find the area of the base.

B = 1/2 a b
B = 1/2( 7)( 11)
B = 38.5

The volume of a triangular prism can be calculated using the following formula. Here B is the area of the base and h is the height of the prism. V= Bh We are given that h= 14 and we already calculated the area of the base of the prism, B= 38.5. Now we have enough information to calculate the value of V.

V= Bh
V= 38.5 ( 14)
V=539

The volume of the prism is 539 cubic meters.