Question

The Great Pyramid in Egypt has a height of approximately 150 meters and a base of 50,000 square meters. In cubic meters, what is its approximate internal volume? A. \(7,500,000\) B. \(5,000,000\) C. \(2,500,000\) D. 750,000

Short answer

The approximate internal volume of the Great Pyramid is \(2,500,000\) cubic meters. Therefore, the correct answer is (C) \(2,500,000\).

Step-by-step solution

Recall the formula for the volume of a pyramid

The formula for the volume of a pyramid is V = (1/3) * base_area * height, where V represents the volume, base_area represents the area of the base, and height represents the height of the pyramid.

Write down the values given in the problem

We are given the height of the Great Pyramid: 150 meters and the base area: 50,000 square meters.

Substitute the given values into the formula and solve for V

We can now substitute the given values into the formula: V = (1/3) * 50,000 * 150. To find the volume, we can first multiply 50,000 by 150, which gives us 7,500,000. Then, we can divide 7,500,000 by 3 (since the formula has a fraction of 1/3), which gives us: V = 2,500,000.

Interpret the result

The approximate internal volume of the Great Pyramid is 2,500,000 cubic meters. Therefore, the correct answer is (C) \(2,500,000\).