The Great Pyramid of Giza is 280 feet tall and about 440 feet wide at the base. The distance from the apex to the center of one side of the base is 356.1 ft. What is the area of one side of the pyramid?
61,600 ft.2
99,708 ft.2
156,684 ft.2
78,342 ft.2
Please explain the answer, Thank you.
The height is 280 ft.
Distance from apex to mid-point of base = 356.1 ft = slant height.
Area of one side
= (1/2)base*slant-height
then choose the correct answer.
78342 ft2
To find the area of one side of the pyramid, we can use the formula for the area of a triangle. A pyramid can be thought of as 4 equilateral triangles attached to a square base. However, in this case, we are looking for the area of just one triangle.
To calculate the area of a triangle, we need the base and height. In this case, the base is the distance from the apex to the center of one side of the base (356.1 ft), and the height is the height of the pyramid (280 ft).
The formula for the area of a triangle is:
Area = (1/2) * base * height
Substituting the given values into the formula:
Area = (1/2) * 356.1 ft * 280 ft = 49,686 ft^2
Therefore, the area of one side of the pyramid is 49,686 ft^2.
Since none of the given answer options match the calculated area, none of them are correct.