Find the volume of a pyramid

Question

The height of a pyramid is 120. The ratio of base area and lateral area is 11:61. Find the volume of the pyramid

Answer 1

Hey David C., I agree choosing square base is logical choice.

note, made some minor corrections

[61/11]=4*[[1/2]x]*√[120²+x²/4]/x²

where x is side length of sqaure

x²=120²/[[61²/22²]-1/4]=1.94E3

volume=[1/3]*x²*120=7.74E4

does that match up with your

really good diagram and calculations?

Answer 2

Both the picture of the pyramid and my math work on it is at this link below:

desmos . com / calculator / u5puswm29x (delete the spaces).