Exercise 3 Page 866

Use the formula for the volume of the prism.

26.95m^3

Practice makes perfect

The given solid is a prism.

The volume of a prism can be calculated using the following formula, where B is the area of the base and h is the height. V=Bh By Cavalieri's Principle, the formula still holds true for oblique prisms. Let's first calculate the area of the base B. We can see that the base is a rectangle, so we can use the known formula to find its area. B = l w From the diagram we can see that l = 4.9m and w=2.5m. Let's calculate the area of the base.

B = l w

SubstituteII

l= 4.9, w= 2.5

B = 4.9* 2.5

Multiply

B = 12.25

The base area of the prism is 12.25m^2. We are also given that the height equals 2.2m. Let's substitute these values into the formula and solve for V.

V=Bh

SubstituteII

B= 12.25, h= 2.2

V= 12.25* 2.2

Multiply

V=26.95

The volume of the prism is 26.95m^3.