Question

Based on the number of pyramids that fit precisely into a cube, which of the following is used in an informal argument for the formula for the volume of a pyramid?

A) V = b cubed over 2
B) V = b cubed over 3
C) V = b cubed over 4
D) V = b cubed over 6

Answer 1

The answer is D,

V = b^3 over 6

because I took the test and got it right.

Answer 2

The correct answer is choice B. It takes 3 congruent pyramids to create a cube. This is why the formula for volume of a pyramid is 1/3Bh.

In a cube the area of the base (length and width) and height are all the same, so b cubed.