# Verbal Reasoning - Cube and Cuboid - Discussion

Discussion Forum : Cube and Cuboid - Cube and Cuboid 2 (Q.No. 3)

*Directions to Solve*

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

Explanation:

Number of small cubes have no face coloured = (4 - 2) x (3 - 2) = 2 x 1 = 2

Discussion:

5 comments Page 1 of 1.
Sangam said:
2 years ago

Thank you @Pinky.

Pinky said:
6 years ago

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.

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.

(3)

Rakeshsoni said:
7 years ago

Can anyone explain this?

Sakthi said:
1 decade ago

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

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

Mano said:
1 decade ago

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

(1)

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