Leon was wondering one day what the volume of the Eiffel Tower would be if the sides were solid. The base is a square with sides measuring 125 m long on each side, and the altitude of the square pyramid is 324 m. What would the volume be in cubic meters?(

Answer 1

To find the volume of the Eiffel Tower if the sides were solid, we need to calculate the volume of the square pyramid.

The formula for the volume of a square pyramid is:

V = (1/3) * b^2 * h

Where:
V = Volume
b = length of side of the base of the pyramid
h = height of the pyramid

Given:
b = 125 m
h = 324 m

Plugging in these values:

V = (1/3) * (125)^2 * 324
V = (1/3) * 15625 * 324
V = (1/3) * 5062500
V ≈ 1687500 cubic meters

Therefore, if the sides of the Eiffel Tower were solid, the volume would be approximately 1,687,500 cubic meters.

Answer 2

Cecilia built a model pyramid out of foam. Her model is 20 inches high, with a rectangular base that is 8 inches long and 12 inches wide. What is the volume of her model in cubic inches?(

Answer 3

To find the volume of Cecilia's model pyramid, we can use the formula for the volume of a rectangular pyramid:

V = (1/3) * l * w * h

Where:
V = Volume
l = length of the base
w = width of the base
h = height of the pyramid

Given:
l = 8 inches
w = 12 inches
h = 20 inches

Plugging in these values:

V = (1/3) * 8 * 12 * 20
V = (1/3) * 960
V = 320 cubic inches

Therefore, the volume of Cecilia's model pyramid is 320 cubic inches.