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=1/12s^3

B.V=1/6s^3

C.V=1/3s^3

D.V=3s^3

E.V=6s^3

Answer 1

Answer:²

V = (1/3)s³

Step-by-step explanation:

The area of a square base with side length s is A = s².  The volume of this pyramid is thus V = (1/3)s²h, where h represents the height.  We are told that the height is equal to s.  Thus, V = (1/3)s³.  This matches Answer C.

Note:  when possible answer choices are given to you, please share them.  Also, please enclose fractions inside parentheses to eliminate ambiguity.