This is a cube was given to a child as a “first birthday present”. 

Describe the cube in terms of faces, edges..)

Each year, more small cubes are added.  For  a second birthday the child had a final cube that looked like this.

How many small cubes make up this
“2 year old cube” ?

How many small cubes will be needed to make the larger cube for each of the birthdays listed below.  Sketch a picture of ONE of those cubes at the right.

Its 3^rd birthday? 

Its 4^th ?

Its 5^th?

For the child’s 10^th birthday, the giant cube was build, then dipped in bright red paint!

At the birthday party, the child took the large cube apart, back to the  many small cubes. 

How many small cubes had three painted faces?

How many small cubes had exactly two painted faces?

How many small cubes had exactly one painted face?

How many small cubes had no painted faces?

Describe WHERE in the large cube each of these groups of painted faces must lie.

Three painted faces

Two painted faces

One painted face

No painted faces