Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
5. Volumes of Pyramids
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Exercise 2 Page 437

The volume of a triangular prism is the area of its base times its height.

60cm^3

Practice makes perfect

Let's consider the given triangular prism.

Triangular prism
We want to find the volume of the prism. Recall that the volume V of a triangular prism is the area of the base B times the height h.

V= B h Let's use the diagram to identify the prism's height and write an expression for the area of its base. Remember that the area of a triangle is half the product of any base and its height.

Triangular prism
Now we can substitute 12* 8* 3 for B and 5 for h into the formula and calculate the volume of the prism.
V = Bh
V = ( 1/2 * 8* 3) (5)
V = ( 0.5 * 8* 3)(5)
V = 12(5)
V = 60
The volume of the prism is 60 cubic centimeters.