The Moscow Papyrus gives a formula for the volume of a truncated square pyramid as (a² + ab + b³) V = where h denotes the height of the truncated pyramid, a the length of the lower base and b the length of the upper base, respectively. Assuming that the volume of a square pyramid is given by V ha? /3, prove that the above formula is correct.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 35E: In Exercises 34 and 35, give a paragraph proof for each claim. The volume V of a washer that has an...
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The Moscow Papyrus gives a formula for the volume of a truncated square
pyramid
as
h
V
(a² + ab + b²)
3
where h denotes the height of the truncated pyramid, a the length of the lower base
and b the length of the upper base, respectively. Assuming that the volume of a square
pyramid is given by V = ha?/3, prove that the above formula is correct.
Transcribed Image Text:The Moscow Papyrus gives a formula for the volume of a truncated square pyramid as h V (a² + ab + b²) 3 where h denotes the height of the truncated pyramid, a the length of the lower base and b the length of the upper base, respectively. Assuming that the volume of a square pyramid is given by V = ha?/3, prove that the above formula is correct.
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