Question

paige just finished a road trip where she visited the following square pyramids: the bent pyramid and the red pyramid. the table below shows the approximate dimensions of the two pyramids. dimensions of pyramids base side length height bent pyramid 619 feet 332 feet red pyramid 722 feet 341 feet paige has to write a paper on volume for school and needs some help. what is the difference in volume of the two pyramids, rounded to the nearest cubic foot?

Answer 1

The difference in volume of the two pyramids, Bent Pyramid and Red Pyramid is 50,548,392 ft³

The steps used to find the difference in volume of the pyramids can be presented as follows;

The dimensions of the pyramids presented in a tabular form is as follows;

Dimensions of Pyramids

Base Side Lengths Height

Bent Pyramid 619 feet 332 feet

Red Pyramid 722 feet 341 feet

The volume of a square pyramid is the product of the area of the square base and the height of the pyramid

Area of a square with side length, s, is; A = s²

Volume of the Bent Pyramid, V₁ = Base area × Height

V₁ = 619² × 332

V₁ = 127,209,452 ft³

Volume of the Red Pyramid, V₂ = 722² × 341

V₂ = 177,757,844 ft³

The difference in volume of the two pyramids, ΔV, is therefore;

ΔV = V₂ - V₁

ΔV = 177,757,844 - 127,209,452

ΔV = 50,548,392 ft³