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A pyramid with a square base of 2500 m^2 has to be built with a volume 165000 m^3. What...

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theta123 | Student, Kindergarten | (Level 1) Salutatorian

Posted June 12, 2013 at 4:26 AM via web

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A pyramid with a square base of 2500 m^2 has to be built with a volume 165000 m^3. What should be the height of the pyramid.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted June 12, 2013 at 4:30 AM (Answer #1)

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The volume of a pyramid with base area A and height H is given by V = (1/3)*A*H

If a pyramid has to be built with volume 165000 m^3 and the base area is 2500 m^2, the height should be H such that (1/3)*2500*H = 165000

=> H = (165000*3)/2500

=> H = 198 m

The height of the pyramid should be 198 m.

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