A large cubical cake needs to be cut into 64 smaller, identical cubical pieces. What is the minimum number of straight cuts required?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 9.
To cut a large cube into n3 smaller identical cubes, the minimum number of cuts required is 3(n – 1) when cuts are made in three perpendicular directions.
Here n³ = 64 ⇒ n = 4
Minimum cuts = 3 × (4 – 1) = 3 × 3 = 9