Exercise 18 Page 840

The given solid is a prism.

The volume of a prism V can be calculated using the following formula. V=Bh In this formula, B is the area of the base and h the height of the prism. First, we can calculate B. The base is a right triangle. Therefore, to find its area, we will calculate half the product of the base b and the height c. B=1/2bc By substituting 4 for b and 3 for c, we can find B.

B=1/2bc

SubstituteII

b= 4, c= 3

B=1/2( 4)( 3)

▼

Simplify right-hand side

MoveRightFacToNumOne

1/b* a = a/b

B=4/2(3)

CalcQuot

Calculate quotient

B=2(3)

Multiply

Multiply

B=6

We found that the area of the base B is 6mm^2. We are also given that the height h equals 12mm. Let's substitute these values into the formula and find V.

V=Bh

SubstituteII

B= 6, h= 12

V=( 6)( 12)

Multiply

Multiply

V=72

The volume of the prism is 72mm^3.