SOLUTION: How would I solve this?: The Great Pyramid of Cheops has a square base of 756 ft on a side and a height of 481 ft. How many apartments 35 ft x 20 ft x 8 ft would be needed to h

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Question 33495: How would I solve this?:
The Great Pyramid of Cheops has a square base of 756 ft on a side and a height of 481 ft. How many apartments 35 ft x 20 ft x 8 ft would be needed to have a volume equivalent to that of the Great Pyramids?
Thanks!
Answer by mbarugel(146) About Me  (Show Source):
You can put this solution on YOUR website!
Hello!
The formula for the volume of a square pyramid is:
V+=+%281%2F3%29%28s%5E2%29h
where s is the side and h is the height. Here, s = 756 and h = 481. Therefore, the volume of this pyramid is:
V+=+%281%2F3%29%2A%28756%5E2%29%2A481+=+91636272 cubic feet.
Now, the volume of each apartment is simply:
35%2A20%2A8+=+5600 cubic feet
Therefore, the number of apartments needed to equal the volume of the Great Pyramids is:
91636272%2F5600+=+16363.62
So approximately 16,363 apartments with dimensions 35 ft x 20 ft x 8 ft are needed to have a volume equivalent to that of the Great Pyramids.

I hope this helps!
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