Refer to the formula and the discussion in Exercise 107.

(a) Use V = 1/3 h(a² + ab + b²) to determine a formula for the volume of a pyramid with square base of length b and height h by letting a = 0.

(b) The Great Pyramid in Egypt had a square base of length 756 ft and a height of 481 ft. Find the volume of the Great Pyramid to the nearest tenth million cubic feet. Compare it with the 273-ft-tall Superdome in New Orleans, which has an approximate volume of 100 million ft³.

(c) The Superdome covers an area of 13 acres. How many acres, to the nearest tenth, does the Great Pyramid cover? 1 acre = 43,560 ft²

Exercise 107.

Transcribed Image Text:

V =-h(a² + ab + b²), 3