Krishna
0

Step 1: Make a not of the given information

              Volume of the cube =   64 cm^3

                           a^3 = 64 cm^3

                           [math] a = \sqrt[3]{64}[/math]

                           a = 4 cm

          

          


  when you join two cubes of 4cm edge to edge (you can take any edge), one of the dimensions becomes 8 cm


Step 2: Calculating the surface area of the cuboid

               Total surface area of a cuboid = 2 (lb+bh+hl)

  

                  The length of the resulting cuboid l = side + side = 4 + 4 = 8 cm

                  Breadth  b =  4cm

                  Height h = side = 4cm

                

              Total surface area of a cuboid  = 2 [(8)(4) + (4)(4) + (4)(8)]

                                                               = 2[32 + 16 + 32]

                                                               = 2 [80]

                                                               = 160 cm^2