Question

The Great Pyramid of Giza is located in Egypt. It has a height of about 480 ft, and the perimeter of its square base is about 3200 ft.
a) What is the area of the base of the pyramid?
b) What is the volume of the pyramid?

Answer 1

The perimeter is the result of all four sides added together; since the base is square, all sides are equivalent, so divide 3200 by 4 to get each side length.
3200/4 = 800 ft.
Each side is equal to 800 ft. 
The area is length * width, and 800 is both the length and width.
800 * 800 = 640000 ft^2. So, the area of the base is 640000 square feet.
Now, to solve for the volume of the pyramid, we multiply the area (640000) by the height (480), then divide by 3.
640000 ft^2 * 480 ft = 307200000 ft^3
307200000 ft^3 / 3 = 102400000 ft^3
So, the volume of the pyramid is 102,400,000 cubic feet.