Volume Of A Square Pyramid

Consider six identical square pyramids, with heights equal to half their base side length, arranged in a cube:

If the pyramids have base area B and height h, their volumes will each be Bh / 3. Scaling the height of the pyramid by any factor will scale the volume by the same factor. Therefore, the volume of any square pyramid is Bh / 3 where B is the base area and h is the height.