Question 46883
We are given the formula for the volume
V = 1/3 * s^2 * h
Now this formula gives us the volume in terms of BOTH the side and the height.
If we know the height is equal to half the side, we can write
h = (1/2)s
That allows us to substitute (1/2)s in for h in the original formula so that we have the volume in terms of ONLY the side...thus we get
V = 1/3 * s^2 * h
V = 1/3 * s^2 * (1/2)s
V = (1/6)s^3