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

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?

Text Solution

Verified by Experts

The correct Answer is:
`8/(3)"cm"^(2)//s`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION III) |11 Videos
  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION IV) |11 Videos
  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE |73 Videos
  • APPLICATION OF INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE|36 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)|94 Videos

Similar Questions

Explore conceptually related problems

The volume of a cube is increasing at a rate of 9 (cm)^3/s . How fast is the surface area increasing when the length of an edge is 10 centimetres ?

The volume of a cube is increasing at the rate of 7 cubic metre per second. How fast is the surface area increasing when the length of an edge is 24 cm?

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

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

The volume of a cube is increasing at the rate of 9 cm^3//sec . The rate of increase of its surface area when its edge (side) is 6 cm is

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

The side of an equilateral triangle is increasing at the rate of 2 cm/s. At what rate is its area increasing when the side of the triangle is 20 cm/s. ?

The side of an equilateral triangle is increasing at the rate of 2cm/s. At what rate is its area increasing when the side of the triangle is 20 cm?