A solid cube is painted red on all faces. The side of the cube is 8 cm

1.	A solid cube is painted red on all faces. The side of the cube is 8 cm. It is cut into smaller cubes of side 2 cm. Answer the following question. 1. How many cubes have three faces coloured? 1. 4 2. 6 3. 8 4. 12 2. How many cubes have two faces coloured? 1. 8 2. 16 3. 36 4. 24 3. How many cubes have only one face coloured? 1. 16 2. 24 3. 32 4. 36
Answer» 1. 3. 8 Here, Δ = 4 Clearly corner (8) cubes are 3 face coloured. 2. 4. 24 12(n – 2) = 24 3. 2. 24 6(n -2)² = 24

A solid cube is painted red on all faces. The side of the cube is 8 cm. It is cut into smaller cubes of side 2 cm. Answer the following question. 1. How many cubes have three faces coloured? 1. 4 2. 6 3. 8 4. 12 2. How many cubes have two faces coloured? 1. 8 2. 16 3. 36 4. 24 3. How many cubes have only one face coloured? 1. 16 2. 24 3. 32 4. 36

Answer»

1. 3. 8

Here, Δ = 4

Clearly corner (8) cubes are 3 face coloured.

2. 4. 24

12(n – 2) = 24

3. 2. 24

6(n -2)² = 24

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