MCQ

Numerical: cube cutting and colouring MCQ - Practice Questions with Answers

Solve 1 Numerical: cube cutting and colouring questions for RAS/RPSC preparation.

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Q1A cube is coloured red on all faces. It is cut into 125 smaller cubes of equal size. How many cubes are coloured on one face only?

A 36

B 48

C 54

D 60

Explanation

Since 125 smaller cubes are formed, the large cube is cut as 5 by 5 by 5. Cubes with colour on exactly one face lie in the inner part of each face, excluding edges and corners. On one face, that count is (5 - 2) x (5 - 2) = 3 x 3 = 9. There are 6 faces, so the total is 6 x 9 = 54. The counts 36, 48 and 60 do not follow this face-centre formula and include too few or too many small cubes.

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