From a rectangular sheet of dimensions `30cm times 80cm`, four equal squares 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 the greatest.

From a rectangular sheet of metal of sides a and b, four equal square portions are removed at the corners and the sides are then turned up so as to form an open rectangular box. If the volume of liquid that can be contained in the box is maximum, then depth of the box is

A rectangular sheet of metal is 40cm by 15cm. Equal squares of side 4cm are cut off at the corners and the remainder is folded up to form an open rectangular box. The volume of the box is

A rectangular sheet of metal is 40 cm by 15 cm. Equal squares of side 4 cm are cut off at the corners and the remainder is folded up to form an open rectangular box. The volume of the box is

from a rectangular sheet of tin,of size 100cm by 80cm, are cut four squares of side 10cm from each corner.Find the area of the remaining sheet.

An open top box constructed from a rectangular metal sheet 8cm times3cm by cutting equal squares of sides x from the corners of the sheet and then turning up the projected portions.The value of x so that the volume of the box is maximum is

From the four corners of a rectangular sheet of dimensions 25 cm xx 20 cm, square of side 2 cm is cut off from four corners and a box is made. The volume of the box is:

A box,constructed from a rectangular metal sheet,is 21cm by 16cm by cutting equal squares of sides x from the corners of the sheet and then turning up the projected portions.The value of x os that volume of the box is maximum is (a)1(b) (c) 3(d) 4

The length and breadth of a rectangular sheet of paper are 60 cm and 30 cm, respectively. A square of side 5 cm is cut and removed from the four corners of the sheet. The rest of the paper is folded to form a cuboid (without the top face). Find the volume of the cuboid so formed (in cm^(3) ).