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The Great Pyramid of Egypt is a square pyramid originally 147 m tall with a base edge 230 m long. What was its original volume?

2 Answers

2 votes

Answer:

2,592,100 m^3

Explanation:

The formula to find the volume of a pyramid is v=(1/3)*bh, where v is volume, b is the base of the figure and h is the height.

We can insert our values into this equation. We’ll be squaring 230 to find the total area of the base.

v=(1/3)*(230^2)147

v=(1/3)*(57,600)147

v=(1/3)*7,776,300

v=2,592,100 cubic meters

User Krankuba
by
7.4k points
3 votes

The volume of a pyramid is given by the formula:

V = (1/3) * base area * height

Since the Great Pyramid is a square pyramid, its base is a square with edge length of 230 m. Therefore, its base area is:

base area = 230^2 = 52,900 square meters

And its height is 147 m.

So, the original volume of the Great Pyramid was:

V = (1/3) * 52,900 * 147

= 2,592,100 cubic meters

Therefore, the original volume of the Great Pyramid was 2,592,100 cubic meters.

User Dhaval Jivani
by
8.3k points

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