Cubes and Dice problems
- 1. A solid cube of 4 inches has been painted red, green and black on pairs of opposite faces. It has been cut into one inch cubes. How many cubes have only 3 faces painted?
Options- A. 4
- B. 8
- C. 12
- D. 16 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, Database Administrator, IT Trainer
Correct Answer: 8
Explanation:
As per the given all information in above question , we get
In layers I and IV four cubes each at the four corners will have three faces painted.
Hence , required answer will be option B .
- 2. A cube is painted blue on two adjacent surfaces and black on the surfaces opposite to blue surfaces and green on the remaining faces .Now the cube is cut into 216 smaller cubes of equal size.
Options- A. 56
- B. 48
- C. 32
- D. 64 Also asked in: CAT, Bank Exams, Bank PO
Correct Answer: 64
Explanation:
We know that Cubes with no surface painted can be find using , where x is number of cuttings. Here x=6.
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