Surface areas and volumes

The diagonal of a cube is 16sqrt3 cm. Find its surface area and volume.

Two cubes each of volume 64\ c m^3 are joined end to end. Find the surface area and volume of the resulting cuboid.

40 circular plates each of radius 7 cm and thickness 1.5 cm are placed one above the other to form a solid right circular cylindr. Find the total surface area and volume of cylinder so formed.

A cone of same height and same base radius is cut from a cylinder of height 8 cm and base radius 6 cm .Find the total surface area and volume of the remaining solid.

The length, breadth the thickness of rectangular sheet of wood are 3.230 m, 1.49 m and 1.99 cm respectively. Give the total surface area and volume of the sheet correct to the significant figures.

A toy is in the form of a cone mounted on a hemisphere of radius 3.5 cm. The total height of the toy is 15.5 cm find the total surface area and volume of the toy.

A rocket is in the form of a right circular cylinder closed at the lower end and surmounted by a cone with the same radius as that of the cylinder. The diamter and height of the cylinder are 6 cm and 12 cm , respectively. If the slant height of the conical portion is 5 cm, the find the total surface area and volume of the rocket. ( use pi = 3.14 ).

If h ,\ S\ a n d\ V denote respectively the height, curved surface area and volume of a right circular cone, then 3piV h^3-\ S^2h^2+9V^2 is equal to (a) 8 (b)0(c) 4pi (d) 32pi^2

The radius of base of a cylinder is 7 cm and height is 10 cm. Find its curved surface area and volume.

Each face of a cube has perimeter equal to 32 cm. Find its surface area and volume.