Verbal Reasoning - Cube and Cuboid - Discussion
Discussion Forum : Cube and Cuboid - Cube and Cuboid 3 (Q.No. 2)
Directions to Solve
The following questions are based on the information given below:
- A cuboid shaped wooden block has 4 cm length, 3 cm breadth and 5 cm height.
- Two sides measuring 5 cm x 4 cm are coloured in red.
- Two faces measuring 4 cm x 3 cm are coloured in blue.
- Two faces measuring 5 cm x 3 cm are coloured in green.
- Now the block is divided into small cubes of side 1 cm each.
2.
How many small cubes will have only one face coloured ?
Answer: Option
Explanation:
2 from the front + 2 from the back + 3 from the left + 3 from the right + 6 from the top + 6 from the bottom = 22
Discussion:
3 comments Page 1 of 1.
Mohit said:
3 years ago
@Lalit.
Why you subtracting 2?
Why you subtracting 2?
Lalit ku sahu said:
9 years ago
For cube:
One face coloured= 6*(n-2)^2.
= 6*(n-2)*(n-2).
Similarly for CUBOID (4*3*5):
One face coloured = 2*(L-2)*(B-2)+2*(B-2)*(H-2)+2*(H-2)*(L-2).
=2*(4-2)*(3-2)+2*(3-2)*(5-2)+2*(5-2)*(4-2).
= 2*2*1 + 2*1*3 + 2*3*2.
= 4 + 6 + 12.
= 22 ANSWER.
One face coloured= 6*(n-2)^2.
= 6*(n-2)*(n-2).
Similarly for CUBOID (4*3*5):
One face coloured = 2*(L-2)*(B-2)+2*(B-2)*(H-2)+2*(H-2)*(L-2).
=2*(4-2)*(3-2)+2*(3-2)*(5-2)+2*(5-2)*(4-2).
= 2*2*1 + 2*1*3 + 2*3*2.
= 4 + 6 + 12.
= 22 ANSWER.
Santhosh said:
1 decade ago
But according to l*2 + b*2 + h*2 =24???
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