If a parallelepiped is formed by planes drawn through the points (5, 8, 10) and (3, 6, 8) parallel to the coordinate planes, then the length of diagonal of the parallelepiped is

According to question, if we draw the parallelepiped in 3D space.

Points P(5, 8,10) and Q(3, 6, 8) appear to be opposite vertices of parallelepiped.

∴ Length of PQ gives the length of diagonal of parallelepiped.

Using distance formula we can find PQ as-

PQ =

∴ Length of diagonal of the parallelepiped is 2√3 units.

Hence, option(A) is the only correct choice.