A square piece of tin of side 18 cm is to be made into a box without top by cutting a square from each corner and folding up the flaps to from the box. What should be the side of the square to be cut off so that the volume of the box is maximum?

A rectangle sheet of tin with adjacent sides 45 cm and 24 cm is to be made into a box without top, by cutting off equal squares from the corners the folding up the flaps. Taking the side of the square cut off as x, express the volume of the box as the function of x.

An rectangle sheet of tin with adjascent sides 45 cm and 24 cm is to be made into a box without top, by cutting off equal squares of side x from the corners the folding up the flaps. For what value of x, the volume of the box will be maximum.

An open box is made by removing squares of equal size from the corners of a tin sheet of size 16cmxx10cm and folding up the sides of the box so obtained. What is the value of x for which V is maximum?

An open box of maximum value is to be made from a square piece of tin sheet 24 cm on a side by cutting equal squares from the corners and turning of the sides. Complete the following table.

An open box of maximum volume is to be made from a square piece of tin sheet 24 cm on a side by cutting equal squares from the corners and turning of the sides. Using the table, express V as a function of x and determine its domain.

An open topped box is to be constructed by removing equal squares from each corner of a 3 metre by 8 metre rectangular sheet of aluminium and folding up the sides. Find the volume of the largest such box.

The pictures shows a tangram of 7 pieces made by cutting a square of side 4 centimetres. Calculate the length of the sides of each piece.

A wire of length 28 m is cut into two pieces. One of the Pieces is be made into a square and the other in to a circle. What should be the length of the two pieces so that combined area of the square and the circle is minimum using differentiation?

A cylinder piece of wood has diameter 8 cm and height 15 cm . A square prism of the same height and side of the base 2 cm is scooped out from it. What is the volume of the remaining piece?