Question

If the base of a square pyramid is 9 centimeters, and it has a volume of 324 cubic centimeters, what is the height of the pyramid?
A 12 cm
B 27 cm
C 14 cm
D 22 cm

Answer 1

A

The volume (V) of a pyramid is found using the formula

V = $\frac{1}{3}$ × area of base × height(h)

area of base = 9² = 81 ← area of a square, hence

324 = $\frac{1}{3}$ × 81 × h = 27h ( divide both sides by 27 )

h = $\frac{324}{27}$ = 12 → A