Question

The Great Pyramid of Giza is a square pyramid where the length of a side of the base is 230.4 m and the height of the pyramid is 138.8 m. The pharaoh has instructed you to design a new pyramid with the same volume but with a rectangular base that is 250 m long and 150 m wide. What is the height of the new pyramid? Round your answer to the nearest tenth of a meter.

159.9 m
175.9 m
196.5 m
199.6 m

Answer 1

well, pointy things with straight sides tend to have volume = (1/3) base area * height
so
(1/3)(230)(230)(138.8) = (1/3)(250)(150) ( h )

Answer 2

typo - forgot .4
(1/3)(230.4)(230.4)(138.8) = (1/3)(250)(150) ( h )