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In order to get a square base that has 100 boxes, each side must have 10 boxes.

So, 10 boxes times 10 boxes gives you 100 boxes on the base.

Then, the next level would only have 9 boxes on each side, giving you a second level with 81 boxes.

The following would be 8 x 8

then 7 x 7

then 6 x 6

All the way to the top which is only one box.

So add 102+92+82+72+62+52+42+32+22+12

or 100+81+64+49+36+25+16+9+4+1

Which equals 385 boxes.

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Q: How many boxes are in a 100 box base pyramid?
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