The length of the longest rod that can be fitted in a cuboid vessel of edge 10 cm long, is

The surface area of a cuboid is 1300 cm². If its breadth is 10 cm and height is 20 cm², find its length.

If A₁, A₂ and A₃ denote the areas of three adjacent faces of a cuboid, then its volume is

If l is the length of a diagonal of a cube of volume V, then

Three equal cubes are placed adjacently in a row. The ratio of the total surface area of the resulting cuboid to that of the sum of the surface areas of three cubes, is