From a rectangular sheet of dimensions 3...

From a rectangular sheet of dimensions `30cm times 80cm`, four squares of sides x cm are removed at the corners, and the sides are then turned up so as to form an open rectangular box. What is the value of x, so that the volume of the box is the greatest?

20/3

`10//3`

`15//2`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

APPLICATIONS OF DIFFERENTIATION
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1 (SPECIAL TYPE QUESTIONS)|14 Videos
APPLICATIONS OF DIFFERENTIATION
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2 (SPECIAL TYPE QUESTIONS)|11 Videos
APPLICATIONS OF DIFFERENTIATION
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos
ADDITION OF VECTORS
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
BINOMIAL THEOREM
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

From a rectangular sheet of dimension 30 cm xx 80 cm , four equal squares of side x cm. are removed at the corners, and the sieds are then turned up so as to form an open rectangular box. Find the value of x, so that the volume of the box is the greatest.

From a rectangular sheet of a cm xx bcm , four equal square pieces of side x cm are removed at the corners and the sides are then turned up so as to form an open rectangular box. Find the value of x so that the volume of the box is greatest.

A box , constructed from a rectangular metal sheet , is 21 cm by 16 cm by cutting equal squares of sides x from the corners of the sheet and the turning up the projected portions . The value of x so that volume of the box is maximum is

The dimensions of a rectangular iron sheet are 20 cm and 14 cm. Squares of side 2 cm each are cut from each corner of the sheet and the remaining sheet is bent Into a cuboid . What would be the volume of water it would contain?

A square whose side is 2 cm has its corners cut away so as to form a regular octagon then area of octagon is lambda(sqrt(2)-1) then lambda

Perimeter of square whose value of side is x cm is ………cm.

A box is made with square base and open top .The area of the material used is 192 sq . Cms If the volume of the box is maximum , the dimensions of the box are

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)

A wire of length 20 cm can be bent in the form of a sector then its ma...
Text Solution
|
A box is made from a piece of metal sheet 24 cms square by cutting equ...
Text Solution
|
An open top box of maximum possible volume from a square piece of tin ...
Text Solution
|
From a rectangular sheet of dimensions 30cm times 80cm, four squares o...
Text Solution
|
The strength of a beam varies as the product of its breadth b and squ...
Text Solution
|
The height of the cylinder of maximum volume which can be inscribed i...
Text Solution
|
The radius of right circular cylinder of maximum volume which can be i...
Text Solution
|
The maximum volume of the cylinder which can be inscribed in a sphere ...
Text Solution
|
The volume of the greatest cylinder which can be inscribed in a cone o...
Text Solution
|
The height and the radius of the base of a cylinder of maximum volume,...
Text Solution
|
The dimensions of the greatest cylinder that can be inscribed in a sph...
Text Solution
|
Show that when the curved surface of a is right circular cylinder insc...
Text Solution
|
A cylindrical, gas container is closed at the top and open bottom. If...
Text Solution
|
The height of the cylinder of maximum volume which can be inscribed i...
Text Solution
|
The height of the cone of maximum volume which can be inscribed in a s...
Text Solution
|
The semivertical angle of a cone of maximum volume and of given total ...
Text Solution
|
A conical tent of given capacity will require the least amount of canv...
Text Solution
|
The semivertical angle of the cone of maximum volume and of given slan...
Text Solution
|
If h is the height of the maximum cone inscribed in a sphere of radius...
Text Solution
|
The maximum volume of the right circular cone that can be inscribed in...
Text Solution
|