### Discussion :: Cube and Cuboid - Cube and Cuboid 3 (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:

- 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.

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 |

Gowtham Reddy said: (Jan 15, 2012) | |

All sides and faces are coloured. I did, t understand that where is the cube with out colour. Please explain me. |

Shalini Sivanandam said: (Dec 26, 2013) | |

Inner layer of the cube is not colored. |

Priya said: (May 28, 2015) | |

Please explain more. |

Shofi said: (Jan 20, 2016) | |

Its very easy. No face colour formula (x-2)^3 this formula use only same cube value. But now we have L = 4, b = 3, c = 5. So we have use (L-2)*(b-2)*(c-2). Then apply the value (4-2)*(3-2)*(5-2) = 2*1*3 = 6. |

Kannan said: (Dec 2, 2020) | |

Then the formula for cube no face painted is? Please, anyone, explain. |

Lokii said: (Dec 7, 2021) | |

@All. I think it should be 12 then because inside we have uncolored 6x2 cubes. Correct me, if I am wrong. |

#### Post your comments here:

Name *:

Email : (optional)

» Your comments will be displayed only after manual approval.