Question

The ancient Egyptians had to be skilled mathematicians to build their pyramids correctly. If they built a pyramid like the one below with a triangular base, where OQ measured 110 yards and QP measured 140 yards, angle OQP was a right angle, and the height from the base of the pyramid to point R was 200 yards, what would the volume of the pyramid be?

Answer 1

513333.33 cubic yards

Solution:

`(1)/(2) bh`

`(1)/(2) (110)(140)`

`=7700`

`V = 1/3AH`

`V = 1/3(7700)(200)`

`V=513333.33`