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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

4. Volumes of Prisms and Cylinders

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Exercise 12 Page 721

Use the formulas for the area of a triangle and volume of the prism.

720mm^3

Practice makes perfect

We are given the following triangular prism, and we want to find its volume.

The volume of a prism can be calculated using the following formula. V=Bh Where B is the area of the base and h is the height of the prism. Note that the base of the prism is a right triangle, so we can calculate its area using the formula for area of a triangle.

B=1/2bh

b= 20, h= 12

B=1/2( 20)( 12)

▼

Simplify right-hand side

Multiply

B=1/2(240)

MoveRightFacToNumOne

1/b* a = a/b

B=240/2

Calculate quotient

B=120

The area of the base B is 120mm^2, and we are given that the height equals 6mm. Let's substitute these values into the formula and solve for V.

V=Bh

B= 120, h= 6

V=( 120)( 6)

Multiply

V=720

Therefore, the volume of the triangular prism is 720mm^3.

Subchapter links

Lesson Check p.721

Practice and Problem-Solving Exercises p.721-724

Standardized Test Prep p.724

Mixed Review p.724