Exercise 16 Page 840

The given figure is a prism.

The volume of a prism can be calculated using the following formula. V=Bh First, we can calculate the area of the base B. Note, the base is a rectangle, so we can calculate its area using the formula for the area of a rectangle which is calculated by multiplying the rectangle's length l by its width w. B=l w By substituting l= 6 and w= 2, we can find B.

B=l w

SubstituteII

l= 6, w= 2

B=( 6)( 2)

Multiply

Multiply

B=12

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

V=Bh

SubstituteII

B= 12, h= 12

V=( 12)( 12)

Multiply

Multiply

V=144

The volume of the prism is 144cm^3.