SOLUTION: 2. The Great Pyramid at Giza was originally 483 feet tall, and it had a square base that was 756 feet on a side. It was built from rectangular stone blocks measuring 7 feet by 7 fe

Question 149168: 2. The Great Pyramid at Giza was originally 483 feet tall, and it had a square base that was 756 feet on a side. It was built from rectangular stone blocks measuring 7 feet by 7 feet by 15 feet. Such a block weighs seventy tons. Approximately how many tons of stone were used to build the Great Pyramid? The volume of a pyramid is 1/3 the base area times the height.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First, let's find the volume of one stone block:

Start with the volume of a rectangular block equation

Plug in l=7, w=7, and h=15

Multiply

So the volume of one stone block is 735 cubic feet.

Now let's find the volume of the pyramid:

Start with the volume of a pyramid equation

Since the base is 756 feet, this means that the area of the base is square feet.

Start with the volume of a pyramid equation

Plug in and

Multiply

So the volume of the entire pyramid is 92,017,296 cubic feet.

Now to find out how many blocks are needed to construct the pyramid, simply divide the volume of the pyramid by the volume of one block like this

So rounding up, we need about 125,194 blocks to construct the pyramid.
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