The following prism is made up of 27 identical
cubes. What is the greatest possible surface area the prism
can have after removing 1 or more from the outside

The greatest possible surface area of the prism is 78 square units, it is obtained by removing center cube on each side of the prism.

Step-by-step explanation:

The given is,

                Prism is made up of 27 identical  cubes

Step:1

               Ref attachment,

               Let, surface area of one of cube = 1 square units

               Surface area of given prism,

               In the given diagram it have 9 cube sides in each side of prism.

                                  1 surface prism = 9 surface of cube

               Surface area of given prism = 6 × Surface of prism

                                                              = 6 × 9

                                                              = 54 square units          

Step:2 Check for alternative's

          For removing one cube on the edge of prism,

                      1 surface of prim = 9 surfaces of cube

          Surface area after removing cube on each side,

                                             = 6 × 11 = 66 square units

           For removing  cube on corner of prism,

                      1 surface of prim = 9 surfaces of cube

           Surface area after removing cube on corner,

                                             = 6 × 9 = 54 square units

          For removing center cube on each side,

                     1 surface of prim = 13 surfaces of cube

           Surface area after removing cube on corer on the prism,

                                                  = 6 × 13 = 78 square units

   Surface area after removing corner cube on prism = 78 square units

Result:

       The greatest possible surface area of the prism is 78 square units, it is obtained by removing center cube on each side of the prism.

goog may be able to you find that answer

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step-by-step explanation: