Exercise 10 Page 834

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 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 = 5in and w=2in. Let's calculate the area of the base.

B = l w

SubstituteII

l= 5, w= 2

B = 5* 2

Multiply

Multiply

B = 10

The base area of the prism is 10in^2. We are also given that the height equals 3in. Let's substitute these values into the formula and solve for V.

V=Bh

SubstituteII

B= 10, h= 3

V= 10* 3

Multiply

Multiply

V=30

The volume of the prism is 30in^3.