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The volume of cube is increasing at the constant rate of 3 cm3/s. Find the rate of change of edge of the cube when its edge is 5 cm.
- a)25 cm3/sec
- b)25 cm/s
- c)1/25 cm/s
- d)1/25 cm3/s
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The volume of cube is increasing at the constant rate of3 cm3/s. Find ...
Let V be the instantaneous volume of the cube.
dV/dt = 3 cm3/s
Let x be the side of the cube.
V = x3
dV/dt = 3x2 * (dx/dt)
3 = 3*(52)*(dx/dt)
So, dx/dt = 1/25 cm/s
dV/dt = 3 cm3/s
Let x be the side of the cube.
V = x3
dV/dt = 3x2 * (dx/dt)
3 = 3*(52)*(dx/dt)
So, dx/dt = 1/25 cm/s
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Community Answer
The volume of cube is increasing at the constant rate of3 cm3/s. Find ...
Dv = 3cm3/secdt
dv = 3a2{ 3 a square}dldt. dt
3= 3a2 dl dt
3=3×5×53=75 dl dt
dl dt= 3/75
ans 1/25
dv = 3a2{ 3 a square}dldt. dt
3= 3a2 dl dt
3=3×5×53=75 dl dt
dl dt= 3/75
ans 1/25
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The volume of cube is increasing at the constant rate of3 cm3/s. Find the rate of change of edge of the cube when its edge is 5 cm.a)25 cm3/secb)25 cm/sc)1/25 cm/sd)1/25 cm3/sCorrect answer is option 'C'. Can you explain this answer? for JEE 2026 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The volume of cube is increasing at the constant rate of3 cm3/s. Find the rate of change of edge of the cube when its edge is 5 cm.a)25 cm3/secb)25 cm/sc)1/25 cm/sd)1/25 cm3/sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The volume of cube is increasing at the constant rate of3 cm3/s. Find the rate of change of edge of the cube when its edge is 5 cm.a)25 cm3/secb)25 cm/sc)1/25 cm/sd)1/25 cm3/sCorrect answer is option 'C'. Can you explain this answer?.
The volume of cube is increasing at the constant rate of3 cm3/s. Find the rate of change of edge of the cube when its edge is 5 cm.a)25 cm3/secb)25 cm/sc)1/25 cm/sd)1/25 cm3/sCorrect answer is option 'C'. Can you explain this answer? for JEE 2026 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The volume of cube is increasing at the constant rate of3 cm3/s. Find the rate of change of edge of the cube when its edge is 5 cm.a)25 cm3/secb)25 cm/sc)1/25 cm/sd)1/25 cm3/sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The volume of cube is increasing at the constant rate of3 cm3/s. Find the rate of change of edge of the cube when its edge is 5 cm.a)25 cm3/secb)25 cm/sc)1/25 cm/sd)1/25 cm3/sCorrect answer is option 'C'. Can you explain this answer?.
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