How many different surface areas are possible when 8 one inch cubes are arranged so that each has one or more faces in common (touching....

Question

Question: How many different surface areas are possible when 8 one inch cubes are arranged so that each has one or more faces in common (touching) with at least one of the other cubes?

Part of this problem is to use a physical model and then learn how to represent it on a piece of paper. Drawings are required and we can use triangle dot paper or an isometric drawing tool on a website.

Please help me! Thank you!

Answer 1

There are 6 faces in a cube and you have 8 cubes touching each other sharing a face. 

 

6×8 = 48

 

You will have 48 different surface areas.