Question

Which pyramids with base area B and height h have equal volumes.

Answer 1

C and D

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

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

calculating each of the volumes gives

(A)  V = $\frac{1}{3}$ × 10.5 × 6 = 21 in³

(B)  V = $\frac{1}{3}$ × 3.6 × 8 = 9.6 in³

(C)  V = $\frac{1}{3}$ × 4.2 × 12 = 16,8 in³

(D)  V = $\frac{1}{3}$ × 6 × 8.4 = 16.8 in³

C and D have equal volumes