Four squares of side 8cm each were cut out from the four corners of a rectangular metal sheet of size`48cmxx36cm`.Find the volume of the open cuboid formed with the remaining portion of the metal sheet.

Find the volume of a cylinder made from a rectangular sheet of size 44cmxx20cm by bending it along its length.

From each cornor of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut and also a circle of diameter 2 cm is cut as shown in Fig.12.23.Find the area of the remaining portion of the square.

From a solid cylinder of height 2.4 cm and diameter 1.4 cm a cone of the same height and same diameter is cut out.Find the total surface area of the remaining portion of the cylinder.

A bucket made up of metal sheet is in the form of a frustum of height 16 cm (closed at the lower end but open at the upper end) with radii of the lower and upper ends are 8 cm and 20 cm respectively. Find the cost of the bucket if the cost of the metal sheet used is ₹ 15.00 per 100 cm (pi = 3.14) .

Find the area of the greatest possible circle that can be cut out from a tin sheet of size 30cmxx40cm .

The lateral surface area of a hollow cylinder is 4224 cm^2 . It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet.

A bucket is in the form of a frustum of a cone with capacity of 12,308.8 cm^3 of water. The radii of the top and bottom circular ends are 20 cm and 12 cm respectively. Find the height of the bucket and the area of the metal sheet used in its making (pi = 3.14) .

From a solid cylinder whose height 8 cm and radius 6 cm, a conical cavity of height 8 cm and a base radius 6 cm is hollowed out. Find the volume of the remaining solid. Also find the total surface area of the remaining solid.

The length of a side of a square is 4 cm.A circle is drawn through the four vertices of the square.Find the area of the portions between the circle and the square.

Three solid metallic cubes of edges 6 cm.,8 cm.and 10 cm.respectivelt are melted to form a new cube.Find the volume and the surface area of the newly formed cube.