Question

[32]. A cubical ice block for a cold-storage display is built from small unit cubes, 216 in all, with no gaps. How many unit cubes lie along one edge of the ice block? / शीत-भंडारण प्रदर्शन के लिए एक घनाकार बर्फ का खंड छोटे इकाई घनों से बना है, कुल 216 घन, बिना कोई खाली जगह छोड़े। बर्फ के खंड की एक किनारे पर कितने इकाई घन आते हैं?

1.
7
2.
5
3.
6
4.
8
Answer (Detailed Solution Below)

Option 3 : 6

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Detailed Solution

सही उत्तर 6 है।

Key Points

If n cubes lie along each edge, n³ = 216. Since 6³ = 216, n = 6, so the cube root of 216 is 6. / यदि हर किनारे पर n घन हों तो n³ = 216। चूँकि 6³ = 216 है, n = 6, इसलिए 216 का घनमूल 6 है।

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Question:

[32]. A cubical ice block for a cold-storage display is built from small unit cubes, 216 in all, with no gaps. How many unit cubes lie along one edge of the ice block? / शीत-भंडारण प्रदर्शन के लिए एक घनाकार बर्फ का खंड छोटे इकाई घनों से बना है, कुल 216 घन, बिना कोई खाली जगह छोड़े। बर्फ के खंड की एक किनारे पर कितने इकाई घन आते हैं?

1.
7
2.
5
3.
6
4.
8

Correct Answer: 6

If n cubes lie along each edge, n³ = 216. Since 6³ = 216, n = 6, so the cube root of 216 is 6. / यदि हर किनारे पर n घन हों तो n³ = 216। चूँकि 6³ = 216 है, n = 6, इसलिए 216 का घनमूल 6 है।

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