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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Mid-Chapter Quiz

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Exercise 14 Page 840

Use the formula for the volume of the prism.

780mm^3

The given figure is a prism.

The volume of a prism can be calculated using the following formula. V=Bh First, we can calculate the area of the base B. Note, the base is a right triangle, so we can calculate its area using the formula for area of a triangle. By substituting b with 8 and c with 15, we can find B.

B=1/2bc

b= 8, c= 15

B=1/2( 8)( 15)

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Simplify right-hand side

MoveRightFacToNumOne

1/b* a = a/b

B=8/2(15)

Calculate quotient

B=4(15)

Multiply

B=60

We calculated that the area of the base B is 60mm^2. We are also given that the height h equals 13. Let's substitute these values into the formula and find V.

V=Bh

B= 60, h= 13

V=( 60)( 13)

Multiply

V=780

The volume of the prism is 780mm^3.