If a man purchased a 1 foot cube block of cheese and he wanted to cut into smaller cubes (3 inch each). He then realizes the outside of the cheese is the only yellow cheese....the entire inside is moldy green cheese. While cutting he noticed that some sides/faces of the cubes would be yellow and some would have green face/side. How many cubes have 1 yellow face? how many cubes 2 yellow faces? how many cubes have 3 yellow faces/sides? Hint: all together there are 64 cubes once cutup and no cube has more than 3 yellow faces.

Question

If a man purchased a 1 foot cube block of cheese  and he wanted to cut into smaller cubes (3 inch each).  He then realizes the outside of the cheese is the only yellow cheese....the entire inside is moldy green cheese.  While cutting he noticed that some sides/faces of the cubes would be yellow  and some would have green face/side.  How many cubes have 1 yellow face?  how many cubes 2 yellow faces?  how many cubes have 3 yellow faces/sides? Hint: all together there are 64 cubes once cutup and no cube has more than 3 yellow faces.

anonymous · Answer

all the corners have 3 yellow faces
all the edges (not including corners) have 2 yellow faces, 
everything on the faces, excluding corners and edges have one yellow face

anonymous · Answer

24 has 1 yellow face
24 has 2 yellow face
8 has 3 yellow face
8 has no yellow face