But you did get a image of sorts .it seems to me that you started with some sort of visual and used that to make a logical /mathematical approach to the problem. Why would I get wrong answers ? Assuming the quality of visual varies fromperson to person those who would trust their image would just guess. If I then asked you - suppose the2 cm cube was red on the outside and white inside how many white faces would result get on 1 cm cubes. would you then resort to mathematics ? Then try this with 1 cm cubes out of a 3 cm cube . - almost impossible I think without mathematics . So i argue a strong visual image can be a disadvantage.People who trust their imagery can pick the wrong person believing they made no mistake,