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Chapter 10: Problem 44

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, in cubic yards?

Short Answer

Expert verified
The volume of the Eiffel Tower, if it were a solid pyramid, would result from substituting into the formula \(\frac{1}{3}BaseArea*Height\) using the converted yard measurements.

Step by step solution

01

Find the area of the base

A square's area is calculated by squaring one of its sides. So, the area in square feet would be \(120 feet * 120 feet\).
02

Convert feet to yards

The desired units for the final answer are in cubic yards. So, it's important to convert the feet measurements to yards before proceeding. There are 3 feet in a yard, so divide every measurement by 3 before proceeding. In this case, divide the square feet base area and the height of pyramid in feet by \(3^2\) and 3 respectively.
03

Calculate the volume

After converting to yards, use the formula for the volume of a pyramid \(\frac{1}{3}BaseArea*Height\) and substitute in your values. This will give you the volume in cubic yards.

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