What is the minimum number of cuts required to divide a cuboid into 8 equal cuboids?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 3.
Number of pieces along each dimension: n1 × n2 × n3 = Total pieces
Minimum cuts = (n1 – 1) + (n2 – 1) + (n3 – 1)
To get 8 equal cuboids, cut along each dimension equally
8 = 2 × 2 × 2
2 pieces along length → Cuts needed = 2 – 1 = 1
2 pieces along breadth → Cuts needed = 2 – 1 = 1
2 slices along height → Cuts needed = 2 – 1 = 1
Total minimum cuts = 1 + 1 + 1 = 3