### Discussion :: Cube and Cuboid - Cube and Cuboid 2 (Q.No.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:

- 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.

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

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

Mano said: (Apr 28, 2011) | |

How we can find it as (4 - 2) x (3 - 2) ? |

Sakthi said: (Aug 25, 2011) | |

To find the faces that have not been colored can be given by the formula(x-2)^3, for a cube l, b, h are same so can directy use, whereas for cuboid. Since they ve different dimensions, its given as (l-2) *(b-2)*(h-2) here l=4 other values are 3, So, 2*1*1 =2 |

Rakeshsoni said: (Oct 2, 2017) | |

Can anyone explain this? |

Pinky said: (Aug 10, 2018) | |

Total cubes = 4*3*3 = 36. Cubes with 3 faces coloured = 8. Cubes with 2 faces coloured = 16 (6+6+2+2). Cubes with 1 face colured = 10 (2+2+1+1+2+2). So, cubes with no coloured face = 36-(8+16+10) = 36-34 = 2. |

#### Post your comments here:

Name *:

Email : (optional)

» Your comments will be displayed only after manual approval.