Question:medium
Answer the following questions based on the information given below.
I. There is a rectangular wooden block of length 4 cm, height 3 cm and breadth 3 cm.
II. The two opposite surfaces of 4 cm x 3 cm are painted yellow on the outside.
III. The other two opposite surfaces of 4 cm x 3 cm are painted red on the outside.
IV. The remaining two surfaces of 3 cm x 3 cm are painted green on the outside.
V. Now, the block is cut in such a way that cubes of 1 cm x 1 cm x 1 cm are created.
How many cubes will have only one colour?
Answer the following questions based on the information given below.
I. There is a rectangular wooden block of length 4 cm, height 3 cm and breadth 3 cm.
II. The two opposite surfaces of 4 cm x 3 cm are painted yellow on the outside.
III. The other two opposite surfaces of 4 cm x 3 cm are painted red on the outside.
IV. The remaining two surfaces of 3 cm x 3 cm are painted green on the outside.
V. Now, the block is cut in such a way that cubes of 1 cm x 1 cm x 1 cm are created.
How many cubes will have only one colour?
I. There is a rectangular wooden block of length 4 cm, height 3 cm and breadth 3 cm.
II. The two opposite surfaces of 4 cm x 3 cm are painted yellow on the outside.
III. The other two opposite surfaces of 4 cm x 3 cm are painted red on the outside.
IV. The remaining two surfaces of 3 cm x 3 cm are painted green on the outside.
V. Now, the block is cut in such a way that cubes of 1 cm x 1 cm x 1 cm are created.
How many cubes will have only one colour?
Show Hint
Split the block into length, height and depth layers and see which small cubes sit in only one painted outer layer.
Updated On: Jul 14, 2026
- 10
- 12
- 14
- 18
Show Solution
The Correct Option is A
Solution and Explanation
Using coordinates (i,j,k) with i in {1..4}, j,k in {1..3}: exactly-one-boundary-coordinate cases sum to 2+4+4=10.
Final Answer: 10, option (1).
Final Answer: 10, option (1).
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