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 = (a² + ab + b?). 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.
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 = (a² + ab + b?). 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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