Exercise 1 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 triangle, so we can use the known formula to find its area. B = 1/2 bh From the diagram we can see that a=6cm and h=4cm. Let's calculate the area of the base.

B = 1/2 bh

SubstituteII

b= 6, h= 4

B= 1/2* 6* 4

Multiply

Multiply

B = 12

The base area of the prism is 12cm^2. We are also given that the height equals 9cm. Let's substitute these values into the formula and solve for V.

V=Bh

SubstituteII

B= 12, h= 9

V= 12* 9

Multiply

Multiply

V=108

The volume of the prism is 108cm^3.