Quandaries
and Queries |
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When stacking oranges to form a triangular pyramid, each orange touching 3 oranges below it. In order to have a pyramid with 6 layers, how many oranges should be on the bottom layer? Stacee Parent |
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Hi Stacee, I didn't have any oranges so I used apples, macintosh apples from British Columbia. Here is a triangular pyramid of apples with 1 layer.
Here is one pyramid with 2 layers
and one with 3 layers. What you need to notice is that to go from the triangular base for the 2 layer pyramid
to the triangular base for a 3 layer pyramid you add one row of apples along a side of the triangle. How many apples will you need for the triangular base for a 4 layer pyramid? Penny |