### Exercise :: Cube and Cuboid - Cube and Cuboid 2

- Cube and Cuboid - Introduction
- Cube and Cuboid - Cube and Cuboid 1
- Cube and Cuboid - Cube and Cuboid 2
- Cube and Cuboid - Cube and Cuboid 3
- Cube and Cuboid - Cube and Cuboid 4
- Cube and Cuboid - Cube and Cuboid 5
- Cube and Cuboid - Cube and Cuboid 6
- Cube and Cuboid - Cube and Cuboid 7
- Cube and Cuboid - Cube and Cuboid 8
- Cube and Cuboid - Cube and Cuboid 9

The following questions are based on the information given below:

- There is a cuboid whose dimensions are 4 x 3 x 3 cm.
- The opposite faces of dimensions 4 x 3 are coloured yellow.
- The opposite faces of other dimensions 4 x 3 are coloured red.
- The opposite faces of dimensions 3 x 3 are coloured green.
- Now the cuboid is cut into small cubes of side 1 cm.

1. | How many small cubes will have only two faces coloured ? |
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Answer: Option C Explanation: Number of small cubes having only two faces coloured = 6 from the front + 6 from the back + 2 from the left + 2 from the right = 16 |

2. | How many small cubes have three faces coloured ? |
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Answer: Option D Explanation: Such cubes are related to the corners of the cuboid and there are 8 corners. Hence, the required number is 8. |

3. | How many small cubes will have no face coloured ? |
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Answer: Option B Explanation: Number of small cubes have no face coloured = (4 - 2) x (3 - 2) = 2 x 1 = 2 |

4. | How many small cubes will have only one face coloured ? |
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Answer: Option A Explanation: Number of small cubes having only one face coloured = 2 x 2 + 2 x 2 + 2 x 1 = 4 + 4 + 2 = 10 |