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?

Text Solution

Verified by Experts

The correct Answer is:
`(18)/(5) cm^(2)` /sec
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC -2 TANGENTS AND NORMALS (SHORT ANSWER TYPE QUESTIONS-I)|2 Videos

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC -2 TANGENTS AND NORMALS (SHORT ANSWER TYPE QUESTIONS - II )|16 Videos

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC - 5 MAXIMA AND MINIMA (LONG ANSWER TYPE QUESTIONS - II)|29 Videos

  • APPLICATION OF INTEGRALS

    OSWAAL PUBLICATION|Exercise Long Answer Type Questions - II|25 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise MVT AND ROLLE.S THEOREM ( SHORT ANSWER TYPE QUESTIONS-II)|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 radius of an air bubble is increasing at the rate of 1/2cm//s . At what rate is the volume of the bubble increasing when the radius is 1 cm?

On uniform heating, the side of a square sheet of metal is increasing at the rate of 0.02 cm/sec. The rate at which the area is increasing when the side is 10 cm long is :

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