A frustum of height 4 is part of a larger pyramid of height 6. What is the ratio of the volume of the frustum to the volume of the pyramid?

So you have a pyramid of height 2 sitting on top of the frustum.  The volume of the large pyramid is (1/3)(6)(s^2) and the volume of the small pyramid is (1/3)(2)(s/3)^2;
the ratio of the volume of the large pyramid to the small pyramid is 6/(2/9) = 27.
The volume of the frustum is 26/27 of the volume of the large pyramid....Show more