Question

A 4x4x4 cube is painted on all faces and cut into 1x1x1 cubes. How many small cubes have exactly two faces painted? / एक 4x4x4 घन के सभी फलकों को रंगा जाता है और उसे 1x1x1 घनों में काटा जाता है। कितने छोटे घनों के ठीक दो फलक रंगे होंगे?

1.
24 / 24
2.
36 / 36
3.
12 / 12
4.
48 / 48
Answer (Detailed Solution Below)

Option 1 : 24 / 24

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Detailed Solution

सही उत्तर 24 / 24 है।

Key Points

Cubes with exactly two painted faces lie on the edges excluding corners: 12 edges x (4-2) = 24. / ठीक दो फलक रंगे वाले घन किनारों पर कोनों को छोड़कर होते हैं: 12 किनारे x (4-2) = 24।

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More Reasoning Questions

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Question:

A 4x4x4 cube is painted on all faces and cut into 1x1x1 cubes. How many small cubes have exactly two faces painted? / एक 4x4x4 घन के सभी फलकों को रंगा जाता है और उसे 1x1x1 घनों में काटा जाता है। कितने छोटे घनों के ठीक दो फलक रंगे होंगे?

1.
24 / 24
2.
36 / 36
3.
12 / 12
4.
48 / 48

Correct Answer: 24 / 24

Cubes with exactly two painted faces lie on the edges excluding corners: 12 edges x (4-2) = 24. / ठीक दो फलक रंगे वाले घन किनारों पर कोनों को छोड़कर होते हैं: 12 किनारे x (4-2) = 24।

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