### Exercise :: Cube and Cuboid - Cube and Cuboid 3

- 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:

- A cuboid shaped wooden block has 4 cm length, 3 cm breadth and 5 cm height.
- Two sides measuring 5 cm x 4 cm are coloured in red.
- Two faces measuring 4 cm x 3 cm are coloured in blue.
- Two faces measuring 5 cm x 3 cm are coloured in green.
- Now the block is divided into small cubes of side 1 cm each.

1. | How many small cubes will have will have three faces coloured ? |
|||||||

Answer: Option B Explanation: Such cubes are related to the corners of the cuboid and in the cuboid there are 8 corners. Hence, the required number of small cubes is 8. |

2. | How many small cubes will have only one face coloured ? |
|||||||

Answer: Option C Explanation: 2 from the front + 2 from the back + 3 from the left + 3 from the right + 6 from the top + 6 from the bottom = 22 |

3. | How many small cubes will have no faces coloured ? |
|||||||

Answer: Option D Explanation: Required number of small cubes = (5 - 2) x (4 - 2) x (3 - 2) = 3 x 2 x 1 = 6 |

4. | How many small cubes will have two faces coloured with red and green colours ? |
|||||||

Answer: Option A Explanation: Required number of small cubes = 6 from the top and 6 from the bottom = 12 |