Exercise :: Cube and Cuboid - Cube and Cuboid 4
- 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:
- All the faces of cubes are painted with red colour.
- The cubes is cut into 64 equal small cubes.
| 1. | How many small cubes have only one face coloured ? |
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Answer: Option D Explanation:
Number of small cubes having only one face coloured = (x - 2)2 x No. of faces = (4 - 2)2 x 6 = 24 |
| 2. | How many small cubes have no faces coloured ? |
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Answer: Option B Explanation:
Number of small cubes having only one faces coloured = (x - 2)3 Here, x = side of big cube / side of small cube x = 4 /1 x = 4 Required number = (4 -2)3 = 8 |
| 3. | How many small cubes are there whose three faces are coloured ? |
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Answer: Option B Explanation:
Number of small cubes having three faces coloured = No. of corners = 8 |
| 4. | How many small cubes are there whose two adjacent faces are coloured red ? |
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Answer: Option D Explanation:
Number of small cubes having two adjacent faces coloured red = (x - 2) x No. of edges = (4 - 2) x 12 = 24 |