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Class 12 Applications Of Derivatives · Conceptual Answer1 Marksrelated_rates

Class 12 Maths · Applications Of Derivatives · Conceptual Answer #34

A cube edge increases at 5 cm/s. How fast does its volume increase when its edge is 15 cm?

✅ Step-by-Step Solution

Final Answer: 3375 cm³/s
  1. For edge a, V=a³ gives V̇=3a²ȧ=3(15)²·5=3375.
  2. 3375 cm³/s

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] For edge a, V=a³ gives V̇=3a²ȧ=3(15)²·5=3375.
  • [0.5 marks] 3375 cm³/s

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