The volume of the parallelepiped whose edges are and is 546 cubic units. Find the value of λ.

Given :

1) Coterminous edges of parallelepiped are

2) Volume of parallelepiped,

V = 546 cubic unit

To Find : value of

1) Volume of parallelepiped :

If are coterminous edges of parallelepiped,

Where,

Then, volume of parallelepiped V is given by,

2) Determinant :

Answer :

Given volume of parallelepiped,

V = 546 cubic unit ………eq(1)

Volume of parallelopiped with coterminous edges

cubic unit ………eq(2)

From eq(1) and eq(2)