Question

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

Answer 1

b

Explanation:

Answer 2

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