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Glencoe Math: Course 2, Volume 2

GM

Glencoe Math: Course 2, Volume 2 View details

4. Volume of Prisms

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Exercise 17 Page 645

Use the formula for the volume of a prism.

166.25 cubic yards.

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= 4, h= 8 34

B=1/2( 4)( 8 34)

▼

Simplify right-hand side

Write as a decimal

B=1/2(4)(8.75)

MoveRightFacToNumOne

1/b* a = a/b

B=35/2

Calculate quotient

B= 17.5

The area of the base is 17.5 square yards. The prism's height equals 9 12 yards. Let's substitute these values into the formula and solve for V.

V=Bh

B= 17.5, h= 9 12

V=( 17.5)( 9 12)

Write as a decimal

V=(17.5)(9.5)

Multiply

V=166.25

The volume of the prism is 166.25 cubic yards.

Subchapter links

Guided Practice p.642

Independent Practice p.643-644

H.O.T. Problems p.644

Standardized Test Practice p.644-646

Extra Practice p.645

Common Core Review p.646