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?(1 point)
To find the volume of the Eiffel Tower, we need to calculate the volume of the square pyramid.
The volume of a pyramid is given by the formula:
V = (1/3) * base area * height
The base area of the square pyramid is equal to the area of the square base, which can be found by squaring the length of the side of the base:
base area = (125 m)^2 = 15625 m^2
Plugging in the values into the volume formula:
V = (1/3) * 15625 m^2 * 324 m = 1/3 * 5071875 m^3
Therefore, the volume of the Eiffel Tower would be approximately 1,690,625 cubic meters.
wrong
Apologies for the error. Let's calculate the volume correctly.
The volume of a pyramid is given by the formula V = (1/3) * base area * height.
The base area of the square pyramid is equal to the area of the square base, which can be found by squaring the length of the side of the base:
Base area = (125 m)^2 = 15625 m^2
Now, let's calculate the volume:
V = (1/3) * 15625 m^2 * 324 m = 1/3 * 5071875 m^3
Therefore, the volume of the Eiffel Tower would be 1,690,625 cubic meters.
try again
Apologies for the mistake. Let's try again to calculate the volume correctly.
The volume of a square pyramid is given by the formula:
V = (1/3) * base area * height
The base area of the square pyramid is equal to the area of the square base, which would be (125 m) * (125 m) = 15625 m^2.
The height of the pyramid is given as 324 m.
Now, let's plug in the values and calculate the volume:
V = (1/3) * 15625 m^2 * 324 m
= (1/3) * 5071875 m^3
= 1690625 m^3
Therefore, the volume of the Eiffel Tower, if the sides were solid, would be 1,690,625 cubic meters.
incorrect its not 1,690,625
Apologies for the mistake. Let's calculate the volume correctly.
The volume of a square pyramid is given by the formula:
V = (1/3) * base area * height
The base area of the square pyramid is equal to the area of the square base, which is (125 m) * (125 m) = 15,625 m^2.
The height of the pyramid is given as 324 m.
Now, let's plug in the values and calculate the volume:
V = (1/3) * 15,625 m^2 * 324 m
= 5,208,333.33 m^3
Therefore, the volume of the Eiffel Tower, if the sides were solid, would be approximately 5,208,333.33 cubic meters.