Exercise 32 Page 889

Use the formulas for the volume of a prism.

32in^3

Practice makes perfect

The given solid is a prism.

To calculate the volume of a prism, we can use the known formula where B is the area of the base and h is the height of the base. V=Bh 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

SubstituteII

b= 4, h= 4

B=1/2( 4)( 4)

▼

Simplify right-hand side

Multiply

B=1/2(16)

MoveRightFacToNumOne

1/b* a = a/b

B=16/2

CalcQuot

Calculate quotient

B=8

The area of the base is 8 square inches. Now we have enough information to find the volume of the prism. Let's substitute B with 8 and h with 4 into the formula.

V=Bh

SubstituteII

B= 8, h= 4

V=( 8)( 4)

Multiply

V=32

The volume of the prism is 32 cube inches.

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Exercises p.886-889

Exercise 32 Page 889

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