Painted Cube Ivestigation
This investigation was about investigating what happened when a large cube made up of smaller cubes was put into a pot of paint.
First, I labelled the smaller cubes according to their position in the large cube.
= Corner Cube = Middle Cube = Core Cube
= Central Cube
This is my diagram of a 3 x 3 x 3 cube. The Cubes are labelled.
If the large cube were covered in paint, not every face on every small cube would be covered. Some cubes, according to position, would have only 1 face painted, some would have 2 faces painted etc.
I first investigated a 33 cube. These are my results.
Total in Cube (33)
Faces Covered (each)
Total faces Covered
Corner Cubes
8
3
24
Core Cubes
0
0
Middle Cubes
2
2
24
Central Cubes
6
6
Total Faces in Cube
Complete Cube
27
62
54
They show:
* The total number of cubes of each type in a large cube (33).
* The number of faces, of each cube type, covered.
* The total number of faces covered for each cube type.
* And the total number of faces in the large cube (33)
Then I realised that I had started at 33 and had not done 23 or 13.
This investigation was about investigating what happened when a large cube made up of smaller cubes was put into a pot of paint.
First, I labelled the smaller cubes according to their position in the large cube.
= Corner Cube = Middle Cube = Core Cube
= Central Cube
This is my diagram of a 3 x 3 x 3 cube. The Cubes are labelled.
If the large cube were covered in paint, not every face on every small cube would be covered. Some cubes, according to position, would have only 1 face painted, some would have 2 faces painted etc.
I first investigated a 33 cube. These are my results.
Total in Cube (33)
Faces Covered (each)
Total faces Covered
Corner Cubes
8
3
24
Core Cubes
0
0
Middle Cubes
2
2
24
Central Cubes
6
6
Total Faces in Cube
Complete Cube
27
62
54
They show:
* The total number of cubes of each type in a large cube (33).
* The number of faces, of each cube type, covered.
* The total number of faces covered for each cube type.
* And the total number of faces in the large cube (33)
Then I realised that I had started at 33 and had not done 23 or 13.
