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

Answer:

513333.33 cubic yards

Solution:

$\frac{1}{2} bh$

$\frac{1}{2} (110)(140)$

$=7700$

$V = 1/3AH$

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

$V=513333.33$