1.

Each side of solid cube is 12 cm. The opposite face of this cube are painted Red, Blue and Black. After this, the cube is cut into small cubes whose each side is 2 cm. Answer the following questions on this basis: 1. What will be the number of cubes with colourless faces? (1) 8 (2) 27 (3) 36 (4) 64 2. What will be the number of cubes with three faces painted in three different colours? (1) 0 (2) 4 (3) 8 (4) None of these 3. How many cubes will have one of its face Red and other faces colourless? (1) 18(2) 24 (3) 32 (4) 36

Answer»

1. (4) 64

The number of cubes with 0 face painted is (n – 2)3 = 64

2. (3) 8

The three coloured smallest cubes will be at corners so there is 8 three coloured cubes.

3. (3) 32

2(n – 2)2 = 32 

One faced red colour small cubes will be found on 2 faces of larger cubes.



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