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How many kinds of cuboids can be put into three different shapes with 36 cuboids with 1 cm long edges? What are the length, width and height of each cuboid
It can be put into eight kinds
The first type: 1 × 1 × 36 = 36
The second: 1 × 2 × 18 = 36
The third: 1 × 3 × 12 = 36
The fourth: 1 × 4 × 9 = 36
The fifth: 1 × 6 × 6 = 36
The sixth type: 2 × 2 × 9 = 36
The seventh type: 2 × 3 × 6 = 36
The eighth type: 3 × 3 × 4 = 36
Of course, we can also change length into width, width into height, height into growth The eight I mentioned are just eight that do not repeat each other
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