Question

A pyramid has a square base with sides of length s. The height of the pyramid is equal to _____ of the length of a side on the base. Which formula represents the volume of the pyramid?

a. ( V = 1/2 s )

b. ( V = s )

c. ( V = 35 )

d. ( V = 65 )

Answer 1

The height of a pyramid is one-third of the length of a side on the base. The formula for the volume of the pyramid is V = (1/3) * s^2 * (s/3).

Step-by-step explanation:

The height of a pyramid is equal to one-third of the length of a side on the base. Therefore, the height of the pyramid can be represented by the equation: h = s/3.

The formula that represents the volume of a pyramid is given by: V = (1/3) * s^2 * h.

Therefore, the correct formula for the volume of the pyramid is:

V = (1/3) * s^2 * (s/3)