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).

4. 

How many cubes will have green colour on two sides and rest of the four sides having no colour ?

[A]. 12
[B]. 10
[C]. 8
[D]. 4

Answer: Option C

Explanation:

There are 16 small cubes attached to the outer walls of the cuboid.

Therefore remaining inner small cubes will be the cubes having two sides green coloured.

So the required number = 24 - 16 = 8


Rahul Mukesh said: (Apr 11, 2012)  
(L-2) (B-2) (2-1) = 8.
Note: height is 1 c.m only so (2-h) from formula.

Riddi said: (Jul 19, 2013)  
There are 6+6+4+4=20 cubes attached to the outer walls of the cuboid. How 16?

Sofia Zoe said: (Aug 6, 2017)  
Leaving edge cubes just count the number of cubes in the middle.
The total number of cubes are 6*4*1=24.
Number of edge cubes are=16,
24- 16 = 8.

Nishanth said: (Sep 14, 2019)  
There are 6 x 4 x 1 = 24,

Number of edge cubes are = 16.
so, 24 - 16 = 8.

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