Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
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Exercise 6 Page 450

The given solid is a triangular prism.

The volume of a prism can be calculated using the following formula. V=Bh Here, B is the area of the base and h is the prism's height. The base is a triangle, so we can calculate its area using the formula for area of a triangle. In our case, the triangle's base is 12 inches and the height is 6 inches. Let's find the base's area using these values.
B=1/2bh
B=1/2( 12)( 6)
B=1/2(72)
B=72/2
B= 36
The area of the base is 36 square inches. We are also given that the prism's height equals 9 inches. Let's substitute these values into the formula and solve for V.
V=Bh
V=( 36)( 9)
V=324
The volume of the prism is 324 cubic inches.