Problema Solution
Although the Eiffel Tower in Paris is not a solid pyramid, its shape approximates that of a pyramid with a square base measuring 120 feet on a side and a height of 980 feet. If it were a solid pyramid, what would be the Eiffel Tower's volume, on cubic yards?
Answer provided by our tutors
let
a = 120 ft the length of the square base of the pyramid
h = 980 ft the height of the pyramid
1 yard = 3 ft
1 yard^3 = 9 ft^3
1/9 yard^3 = 1 ft^3
1 ft^3 = 1/9 yard^3
V = (1/3)a^2*h
V = (1/3)120^2*980
V = 4704000 ft^3
V = 4704000*(1/9) yard^3
V = 522666.67 yard^3