घन के पृष्ठीय क्षेत्रफल के परिवर्तन की दर 216 सेमी2/सेकेंड है और घन के भुजा के परिवर्तन की दर 2 सेमी/सेकेंड है, तो उस समय पर लम्बाई ज्ञात कीजिए। 

  1. 9
  2. 12
  3. 16
  4. 20

Answer (Detailed Solution Below)

Option 1 : 9
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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गणना:

दिया गया है कि घन की भुजा (L) दर = = 2 सेमी/सेकेंड से परिवर्तित होती है। 

घन का पृष्ठीय क्षेत्रफल V = 6L2

पृष्ठीय क्षेत्रफल के परिवर्तन की दर A =

 = ​​

 =  = 24L

चूँकि  = 216 सेमी2/सेकेंड है। 

216 = 24 × L

L =  = 9 सेमी

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