A right prism has a rhombus as a base. The height of the prism is 6 inches and the volume is 144 cubic inches.

Which could be the lengths of the diagonals of the rhombus?

A volume of a prism is base area times its height.

V = Ah

to solve the length of the diagonal, first solve the A area of the base

A = V/h

A = 144 / 6

A = 24

then the formula for the area of rhombus is:

A = pq

where p and q are the diagonal.

24 = pq

so just find which of the choices will have a product of 24

6 by 8 (6*8) (choice c/3) is correct