Exercise 2 Page 756

We want to find the volume of the given prism.

The volume of a prism can be calculated using the following formula, where h is the height, and B is the area 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= 10, h= 8

B=1/2( 10)( 8)

▼

Simplify right-hand side

MoveRightFacToNumOne

1/b* a = a/b

B=80/2

CalcQuot

Calculate quotient

B=40

The area of the base is 40 square inches. We are also given that the height of the prism equals 14 inches. Let's substitute these values into the formula and solve for V.

V=Bh

SubstituteII

B= 40, h= 14

V=( 40)( 14)

Multiply

Multiply

V=560

The volume of the prism is 560 inches cubed. Therefore, the correct answer is G.