Question

The volume of a square based pyramid is eighty-one cubic meters. What is the volume of the cube with the same side length and height?

Answer 1

V = (1/3)b^2h where b = base length, h = height from vertex to the base
V = 13 b^3 because base and height are the same
Since the cube has volue of 81 m^3, then
b^3 = 81
b = 81^(1/3)
V = 13 ( 81^(1/3) )
V = (1/3)(81)
V = 27 m^3

Answer 2

V = 27 m^3 is the answer