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An edge of a variable cube is increasing at the rate of 5 cm/sec. How fast is the volume of the cube is increasing when edge is 10cm long?

An edge of a variable cube is increasing at the rate of 5 cm/sec. How fast is the volume of the cube is increasing when edge is 10cm long?

Grade:Upto college level

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
Hello student,
Let s be the side of a cube
ds/dt=5cm/sec
volume of cube=s3
dv/dt=3s2ds/dt=3(100)(5)=1500cm3/s
Thanks and Regards
Shaik Aasif
askIITians faculty

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