Exercise 7 Page 450

The given solid is a rectangular prism.

The volume of a prism can be calculated using the following formula. V=Bh Here, B is the area of the base and h is the prism's height. The base is a rectangle, so we can calculate its area using the formula for area of a rectangle. In our case, the rectangle's length is 4 yards and the width is 2 yards. Let's find the base's area using these values.

B=l w

SubstituteII

l= 4, w= 2

B= 4( 2)

Multiply

Multiply

B = 8

The area of the base is 8 square yards. We are also given that the prism's height equals 5.2 yards. Let's substitute these values into the formula and solve for V.

V=Bh

SubstituteII

B= 8, h= 5.2

V=( 8)( 5.2)

Multiply

Multiply

V=41.6

The volume of the prism is 41.6 cubic yards.