Verbal Reasoning - Cube and Cuboid - Discussion

Discussion Forum : Cube and Cuboid - Cube and Cuboid 3 (Q.No. 4)
Directions to Solve

The following questions are based on the information given below:

  1. A cuboid shaped wooden block has 4 cm length, 3 cm breadth and 5 cm height.
  2. Two sides measuring 5 cm x 4 cm are coloured in red.
  3. Two faces measuring 4 cm x 3 cm are coloured in blue.
  4. Two faces measuring 5 cm x 3 cm are coloured in green.
  5. Now the block is divided into small cubes of side 1 cm each.

4.
How many small cubes will have two faces coloured with red and green colours ?
12
8
16
20
Answer: Option
Explanation:

Required number of small cubes = 6 from the top and 6 from the bottom = 12

Discussion:
13 comments Page 1 of 2.

EEE Pedia said:   3 days ago
We can determine in this way:

n1 = 4 cm /1 cm ( small cube side ) = 4.
n2 = 3/1 = 3.
n3 = 5/1 = 5.

5*4 side has Red colour,
5*3 side has a green colour. in these dimensions, 5 is common.
So the number of two face R-B colour is 4*(5-2) = 12.

Extra:-
In this manner, we can write,
5*4 is red and 4*3 is blue, sothe common is 4, hence,
number of two face R-B colour = 4*(4-2) = 8.

Also,
4*3 is blue and 5*3 is green so, 3 is common.
So,
number of two-face B-G colour = 4* ( 3-2) = 4.

Total number of two face colour = 12+8+4 = 24.

Bikky kumar said:   4 years ago
According to me;

4(n1- 2) + 4(n2- 2) + 4(n3- 2) = 4(4- 2) + 4(3- 2) + 4(5- 2)=24 is the answer.
(1)

Annu Agrawal said:   5 years ago
According to me, the Answer is 24.

4(n1-2) + 4 (n2-2) + 4(n3-2).
n = 4.
4*2 + 4*1 + 4*3 = 24.

Srividya said:   8 years ago
Please anyone give the the solution with formula.

Srividya said:   8 years ago
Not getting it, please give the explanation clearly.

Shahwazhusain said:   9 years ago
Yeah, it should be 20.

Pratham said:   9 years ago
Answer should be 20 as it is not written 'only two colours'.

SIKARI said:   9 years ago
The answer should be 20.

Manish said:   1 decade ago
Here nothing is written about other face colour.

So it should not matter whether it is coloured or not so I think 20 is answer.

Anju said:   1 decade ago
What is the correct answer? please explain it.


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