Exercise 21 Page 905

Consider the given solid.

The given solid is a prism. The volume of a prism can be calculated using the known formula where h is the height and B is the area of the base. V=Bh Note, 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= 12, h= 9

B=1/2( 12)( 9)

▼

Simplify right-hand side

MoveRightFacToNumOne

1/b* a = a/b

B=12/2(9)

CalcQuot

Calculate quotient

B=6(9)

Multiply

Multiply

B=54

The area of the base is 54 square centimeters. Now, we have enough information to find the volume. Let's substitute B=54 and h=18 to calculate V.

V=Bh

SubstituteII

B= 54, h= 18

V= 54( 18)

Multiply

Multiply

V=972

The volume of the prism is 972 cubic centimeters.