69.1k views
3 votes
The great Khafre Pyramid, the second tallest and second largest of the three ancient pyramids of Egypt, is 448 feet tall, and the length of a side at the base is 706 feet. The base of the pyramid is a square. What is its volume, rounded to the nearest cubic foot?

The great Khafre Pyramid, the second tallest and second largest of the three ancient-example-1
User Enoktate
by
4.6k points

1 Answer

4 votes

The volume of a pyramid can be calculated with the following formula:


\text{volume =}(1)/(3)*(area\text{ of base)}* height

The base of the pyramid is a square, so its area will be:


\begin{gathered} \text{area of base =side}* side \\ \text{area of the base=706}*706 \\ \text{area of base =}498,436\text{ ft²} \end{gathered}

Let's plug that result in the formula for the volume:


\begin{gathered} \text{volume}=(1)/(3)*(498,496)*448 \\ \text{volume}=74,433,109\text{ ft³} \end{gathered}

So our final answer will be:


\text{volume = 74,433,109 ft}^3

User Martin Melichar
by
5.4k points