The area of the base of a pyramid is 15 (square root 3) cm2. If the height of the pyramid is 4 cm, what is the volume of the pyramid?

a. 20 cm3

b. 60 cm3

c. 120 cm3

d. 180 cm3

The volume of any prism is equal to its base times its height. V = Bh

A figure such as a pyramid or cone has 1/3 of the volume of the prism which contains it. V = Bh/3

In the case of our pyramid here ...

B = 15√3 cm²

h = 4 cm

Plug these into our formula ...

V = Bh/3 = (15√3) (4) / 3 = (60√3) / 3 = 20√3 cm³