Minimum number of cuts to divide a cube or cuboid into n equal pieces

This type of question, asked 2 times: 17 Sep 2025 S1, 17 Sep 2025 S3. All 2 questions below, oldest first.

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Question 1
17 Sep 2025 S1
62 $What is the minimum number of cuts required to divide a cuboid into 8 equal cuboids?$
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Question 2
17 Sep 2025 S3
62 $A large cubical cake needs to be cut into 64 smaller, identical cubical pieces. What is the minimum number of straight cuts required?$
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