Question

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

B = 10.5 in2 and h = 6 in
B = 3.6 in2 and h = 8 in
B = 4.2 in2 and h = 12 in
B = 6 in2 and h = 8.4 in

Answer 1

Option A:

V = 1/3 * b^2 * h

V = 1/3 * 10.5^2 * 6

V = 1/3 * 110.25 * 6

V = 220.5

Option B:

V = 1/3 * b^2 * h

V = 1/3 * 3.6^2 * 8

V = 1/3 * 12.96 * 8

V = 34.56

Option C:

V = 1/3 * b^2 * h

V = 1/3 * 4.2^2 * 12

V = 1/3 * 17.64 * 12

V = 70.56

Option D:

V = 1/3 * b^2 * h

V = 1/3 * 6^2 * 8.4

V = 1/3 * 36 * 8.4

V = 100.8

I guess it's 'None of the Above'