Question 1062290
Volume of the prism  = 144 cubic inches
height  = 6 inches
area of base (rhombus ={{{ volume/height}}}
                     = {{{ 144/6}}}
                       = {{{ 24 in^2}}}
let d1, d2 be the diagonals
 area of rhombus = {{{(1/2)* d1*d2}}}
  {{{(1/2)* d1*d2 = 24}}}
          {{{ d1*d2  = 48}}}
 possible lengths of diagonals are    8 in x 6 inch
                                  or
                                  12 in x 4 in
                                 or 
                                  24 in x 2 in
                                  or 
                                  16 in 3 in