CAT 2025 Cubes Question (Medium)

Question

A cube of white material is painted red on all its surfaces. If it is cut into 125 smaller cubes of the same size, then how many cubes will have two sides painted red?

Optima Learn · Accepted Answer

To count 2-red-face cubes, we need to know where such cubes occur in a cube cut into 125 smaller cubes. Understanding the setup A cube cut into 125 5 5 5 smaller cubes has cubes with 3 red faces at the corners, 2 red faces along the edges excluding corners , 1 red face on the remaining face-centre c

CAT 2025 Cubes — Previous Year Question

CAT 2025

LR

Cubes

Medium

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