GATE CS 2024 Set 2 — Question 9
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General Aptitude → Spatial Aptitude → 2D & 3D Patterns
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Question
A cube is to be cut into 8 pieces of equal size and shape. Here, each cut should be straight and it should not stop till it reaches the other end of the cube.The minimum number of such cuts required is
Correct answer
(A) 3
Solution
To cut a cube into pieces with minimum cuts, we should distribute the cuts as evenly as possible across the three dimensions (x, y, z).
Let be the number of cuts along the three axes. The total number of pieces is given by .We want .
To minimize the total number of cuts , the factors should be as close to each other as possible.
Since , we can set:
Total cuts .
These 3 mutually perpendicular cuts passing through the center of the cube will divide it into 8 smaller cubes of equal size and shape.
Let be the number of cuts along the three axes. The total number of pieces is given by .We want .
To minimize the total number of cuts , the factors should be as close to each other as possible.
Since , we can set:
Total cuts .
These 3 mutually perpendicular cuts passing through the center of the cube will divide it into 8 smaller cubes of equal size and shape.
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