Problem
TxO Math Bowl 2024 - Guts Contest - Set 9 Problem 1
Several 1 \times 1 \times 1 cubes are stacked into an isosceles 6-staircase where each layer is a staircase pattern (see below) of size one less than the one below it.
The entire shape is depicted on the right. How many rectangular prisms can be formed by taking a subset of the cubes in this shape?
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