Home
Class 12
MATHS
The volume of a cube is increasing at a ...

The volume of a cube is increasing at a rate of 9 cubic centimetres per second. How fast is the surface area increasing when the length of an edge is 10 centimetres per second. How fast is the surface area increasing when the length of an edge is 10 centimetres?

Text Solution

Verified by Experts

The correct Answer is:
`3.6 sq cm//s`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    SUBHASH PUBLICATION|Exercise EXERCISE|22 Videos
  • ANNUAL EXAMINATION QUESTION PAPER MARCH 2017

    SUBHASH PUBLICATION|Exercise PART-D|9 Videos
  • APPLICATIONS OF INTEGRALS

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|5 Videos

Similar Questions

Explore conceptually related problems

The volume of a cube is increasing at the rate of 9 cubic cm/sec. How fast is the surface area increasing when the length of an edge is 10 cm?

The volume of a cube is increasing at a rate of 9cc/sec. How fast is the surface area increasing when the length of an edge is 10 cm.

The volume of a cube is increasing at the rate of 8 cm^(3) /s. How fast is the surface area increasing when the length of an edge is 12 cm?

The volume of a cube is increasing at the rate of 8 cm^(3)//s . How fast is the surface area increasing when the length of an edge is 12 cm?

An edge of a variable cube is increasing at the rate of 3 cm/s. How fast is the volume of the increasing when the edge is 10 cm long?

An edge of a variable cube is increasing at the rate of 10 cm per second. Then the volume of the cube is increasing when the edge is 5 cm long, at the rate

The surface area of a ball is increasing at the rate of 2 pi sq. cm /sec. The rate at which the radius increasing when the surface area is 16 pi sq. cm is

The radius of a circle is increasing uniformly at the ratio 3 cm/s. Find the rate at which the area of the circle is increasing when the radius is 10 cm.