Problems in which a rectangular sheet is converted into a cuboid/cylinder

Uniform Rectangular Sheet

A square of side 2 cm is cut from the each corner of a rectangular sheet of length 24 cm and breadth 18 cm and remaining sheet is converted into an open box. Find the inner volume of the box.

The length of a rectangular sheet is 1.5 cm and breadth is 1.023 cm . Find the area of the face of a rectangular sheet to the correct number of significant figures.

The length of a rectangular sheet is 1.5 cm and breadth is 1.023 cm . Find the area of the face of a rectangular sheet to the correct number of significant figures.

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?

The lateral surface area of a hollow cylinder is 5632" cm"^(2) . If is cut along its height and a rectangular sheet of width 44 cm is formed .Find the perimeter of the rectangular sheet ?

A rectangular sheet of fixed perimeter with sides having their lengths in the ratio 8 : 15 is converted into an open rectangular box by folding after removing squares of equal area from all four corners. If the total area of removed squares is 100, the resulting box has maximum volume. The lengths of the sides of the rectangular sheet are :

A rectangular sheet of fixed perimeter with sides having their lengths in the ratio 8 : 15 is converted into an open rectangular box by folding after removing squares of equal area from all four corners. If the total area of the removed squares is 100, the resulting box has maximum volume. The lengths of the side of the rectangular sheet are