# The ancient Egyptians had a well-known interest in pyramids. According to the Moscow papyrus, they..

The ancient Egyptians had a well-known interest in pyramids. According to the Moscow papyrus, they developed the following formula for the volume of a truncated pyramid with square base: V D h 3 a2 C ab C b2. In this formula, the base of the pyramid is an a * a square, the top is a b * b square and the height of the truncated pyramid (measured perpendicular to the base) is h. One fact you learned in high school geometry is that that volume of a pyramid is one-third the area of the base times the height. Use that fact along with some high school geometry and algebra to verify that the Egyptian

The ancient Egyptians had a well-known interest in pyramids. According to the Moscow papyrus, they developed the following formula for the volume of a truncated pyramid with square base: V D h 3 a2 C ab C b2. In this formula, the base of the pyramid is an a * a square, the top is a b * b square and the height of the truncated pyramid (measured perpendicular to the base) is h. One fact you learned in high school geometry is that that volume of a pyramid is one-third the area of the base times the height. Use that fact along with some high school geometry and algebra to verify that the Egyptian formula is exactly correct.