### Exercise :: Cube and Cuboid - Cube and Cuboid 8

- 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

There are 128 cubes with me which are coloured according to two schemes viz.

- 64 cubes each having two red adjacent faces and one yellow and other blue on their opposite faces while green on the rest.
- 64 cubes each having two adjacent blue faces and one red and other green on their opposite faces, while red on the rest. They are then mixed up.

1. | How many cubes have at least two coloured red faces each ? |
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Answer: Option D Explanation: 64 and 64 cubes of both types of cubes are such who have at least two coloured faces red each. Therefore, total number of the required cubes is 128. |

2. | What is the total number of red faces ? |
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Answer: Option C Explanation: No. of red faces among first 64 cubes = 128 No. of red faces among second 64 cubes = 192 Therefore, total number of red faces = 128 + 192 = 320 |

3. | How many cubes have two adjacent blue faces each ? |
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Answer: Option A Explanation: Second 64 cubes are such each of whose two faces are blue. |

4. | How many cubes have only one red face each ? |
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Answer: Option D Explanation: Out of 128 cubes no cube have only one face is red |

5. | Which two colours have the same number of faces ? |
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Answer: Option B Explanation: First 64 cubes are such each of whose two faces are green and second 64 cubes are such each of whose two faces are blue. Therefore, green and blue colours have the same number of faces. |