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:
3 years ago
Thank you @Pinky.
Pinky said:
7 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.
(5)
Rakeshsoni said:
8 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
(1)
Mano said:
1 decade ago
How we can find it as (4 - 2) x (3 - 2) ?
(1)
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