If the edges of a rectangular parallelopiped are 3, 2, 1 then the angle between a pair of diagonals is given by

If the edges of a rectangular parallelepiped are a,b, c, prove that the angles between the four diagonals are given by cos^(-1)"((pma^(2)pmb^(2)pmc^(2))/(a^(2)+b^(2)+c^(2))) .

If the sum of the length, breadth and height of a rectangular parallelopiped is 24 cm and the length of its diagonal is 15 cm, then its total surface area is

If two adjacent sides of a rectangular parallelopiped are 1 cm and 2 cm and the total surface area of the parallelopiped is 22 square cm, then the diagonal of the parallelopied is

The three different face diagonals of a cuboid (rectangular parallelopiped) have lengths 39,40,41. The length of the main diagonal of the cuboid which joins a pair of opposite corners:

The volume of the parallelopiped constructed on the diagonals of the faces of the given rectangular parallelopiped is m times the volume of the given parallelopiped. Then m is equal to