Question

The 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​

Answer 1

106 times the surface area of one cube face

Explanation:

The maximum area will be achieved when all 27 cubes are strung together in one line. That is, the dimensions of the prism are 1 cube by 1 cube by 27 cubes.

When 1 cube is removed, the dimensions are 1×1×26, so will have an area of ...

2(1×1 +26(1+1)) = 106 . . . face area units