Home
Class 12
MATHS
If the side of a cube decreases at the r...

If the side of a cube decreases at the rate of `0.02 cm//sec`, then, when the side is 10 cm , volume of the cube decreases at the rate of

A

`0.6 cm ^(3)//sec`.

B

`6 cm^(3)//sec`.

C

`60 cm^(3)// sec`.

D

`0.06cm^(3)//sec.`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 12)|19 Videos
  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)|19 Videos
  • APPLICATIONS OF DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|11 Videos

Similar Questions

Explore conceptually related problems

If the surface area of a cube increases at the rate of 0.6cm^(2) //sec , then, when the side is 4 cm , volume of the cube is increasing at the rate of

If the surface area of a cube increases at the rate of 0.6cm^(2) //sec , then, when the side is 4 cm , volume of the cube is increasing at the rate of

Ie the side of a cube increases at the eate of 0.04 cm //sec, then , when the side is 6 cm , surface area of the cube is increasing at the rate of

If the volume of a cube increases at the of 1 c .c // sec , then, when the side is sqrt3 cm diagonal of the cube is increasing at the rate of

Perimeter of square increases at the rate of 0.4 cm// sec . When the side is 20 cm, its area increases at the rate of

Perimeter of square increases at the rate of 0.4 cm// sec . When the side is 20 cm, its area increases at the rate of

The edge of a cube is decreasingg at the rate of 0.04 cm/sec. if the edge of the cube is 10 cms, then rate of decrease of surface area of the cube is . . .

Sides of a sqare are inceasing at the rate of 0.5 cm //sec. When the side is 10 cm long its area is increasing at the rate of

Sides of a square are increasing at the rate 0.5 cm//sec . When the side is 10 cm long, its area is increasing at the rate of

The surface area of a cube is increasing at the rate of 2 cm^(2)//sec . When its edge is 90 cm, the volume is increasing at the rate of

MARVEL PUBLICATION-APLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)
  1. If the side of a cube decreases at the rate of 0.02 cm//sec, then, whe...

    Text Solution

    |

  2. If S=16+ 192 t-t^(3), then distance tavelled by the particle before co...

    Text Solution

    |

  3. The distances moved by a particle in time t seconds is given by s=t^(3...

    Text Solution

    |

  4. A stone thrown vertically upwards rises S ft in t seconds where S =11...

    Text Solution

    |

  5. If displacement x at time t is x=sqrt(1+t^(2)) , then acceleration is

    Text Solution

    |

  6. If the circumference of a circle at the rate of 0.2 cm //sec, then, wh...

    Text Solution

    |

  7. A stone is dropped into a quiet pond and waves spread in the form of c...

    Text Solution

    |

  8. Perimeter of square increases at the rate of 0.4 cm// sec. When the si...

    Text Solution

    |

  9. Each side of an equilateral triangle increases at a uniform rate of 0....

    Text Solution

    |

  10. If the surface area of a cube increases at the rate of 0.6cm^(2) //sec...

    Text Solution

    |

  11. If V denotes the volume and S is the surface area of a sphere. If radi...

    Text Solution

    |

  12. Water is poured into an inverted cone of semi-vertical angle 30^(@) at...

    Text Solution

    |

  13. A ladder 10 m long leans against a house. When its foot is 6 m from th...

    Text Solution

    |

  14. If y=(log x) - (2)/(x), x=(1)/(2), deltax =10 ^(-8), then delta y ~~…

    Text Solution

    |

  15. If 1^(@) =0.0174^(c), then tan (45^(@) 50')~~…

    Text Solution

    |

  16. If diameter of a sphere is 2 cm with error 0.082 mm, then approximate ...

    Text Solution

    |

  17. If a wire of length l, with error delta l, is bent into an equilatera...

    Text Solution

    |

  18. if radius of a sphere is r with error delta r , and S is its surface ...

    Text Solution

    |

  19. If 1^(@) =0.018^(c), then sin^(2) (45 ^(@) 2')~~…

    Text Solution

    |

  20. A point P moves along the curve y=x^(3). If its abscissa is increasing...

    Text Solution

    |