Verbal Reasoning - Cube and Cuboid - Discussion

The following questions are based on the information given below:

  1. A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
  2. Two faces measuring 4 cm x 1 cm are coloured in black.
  3. Two faces measuring 6 cm x 1 cm are coloured in red.
  4. Two faces measuring 6 cm x 4 cm are coloured in green.
  5. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side).


How many cubes having red, green and black colours on at least one side of the cube will be formed ?

[A]. 16
[B]. 12
[C]. 10
[D]. 4

Answer: Option D


Such cubes are related to the corners of the cuboid. Since the number of corners of the cuboid is 4.

Hence, the number of such small cubes is 4.

Mustaq said: (Mar 6, 2011)  
Please tel me ans clearly I couldnt understand please please.

Abc123345 said: (Sep 23, 2011)  
Shouldn't the no. of corners of cuboid be 8?

Shekhar Ghate said: (Nov 6, 2011)  
When one side of the cuboid is 1, there can not be 8 corners for a cuboid. In this case one will get 4 cubes having four sides painted after cutting. In the above problem the four cubes will have two opposite sides painted green, two adjascent sides painted black and red and the remaining two adjascent sides are without any colour.

If the length, breadth and height of a cube or cuboid each is more than 1, then only there could be 8 corners. In that case after cutting one can get 8 cubes having three sides painted and no cube having four sides painted.

Sairarasheed said: (Jan 17, 2014)  
How there is only 4 corners? In other cases having more than 1 cm height?

John Mohammed said: (Jan 22, 2014)  
Because the height of the cube itself is equal to the height of the cuboid a single cube includes both the corners. Hence although there are 8 corners the question demands how many cubes would have 3 different colors and because a single cube covers 2 corners, the cubes which have 3 different sides is 4. However, if the height of the cuboid is increased, or the height of the cube is halved, then there would be 8 cubes with 3 different colors.

Venkat Natesh said: (Sep 10, 2015)  
If all the three colours should be in a cube. We can have it only in corners.

Therefore 4 CORNERS in this diagram. So 4 cubes will get coloured in 3 different colours.

Rahul said: (Dec 22, 2016)  
Well said @Shekhar.

Geeta said: (Apr 27, 2017)  
Not able to understand. Please, anyone help me.

Garth Bale said: (May 26, 2017)  
I can't understand at. Please, anyone explain this.

Medha Mukherjee said: (Aug 15, 2017)  
Can anybody explain to me, how it happens?

Anisha said: (Oct 15, 2017)  
I could not understand the concept, please help me.

Gamer Dev said: (Oct 22, 2017)  
Well, as clearly seen in the above diagram.

There are only four cubes (corner cubes) that are painted with red, green and black colors.

All the remaining cubes are painted with only two colors.

Gayathri said: (May 17, 2018)  
Why can't we take it as a cube?

Chandan said: (Jun 1, 2018)  
Because dimensions in three different face or plane are different. That's why it is a Cuboid.

Priyansh said: (Mar 17, 2020)  
The question is saying at least one side of the cube.

It means there will be 16 cubes having colors in at least one side, isn't.

Mehreen said: (Sep 13, 2020)  
Yes, right @Priyansh.

Aayush Varshney said: (Sep 21, 2020)  
I couldn't understand how it done. Please explain me.

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