Maths Project : Cubes and Hidden Faces
I am finding out if there is a pattern to the ratio of cubes to the number of hidden faces and finding the nth term.
With 1 Cube = 1 hidden face
With 2 Cubes = 4 hidden faces
With 3 Cubes = 7 hidden faces
With 4 Cubes = 10 hidden faces
With 5 Cubes = 13 hidden faces
With 6 Cubes = 16 hidden faces
Already I can see a pattern, which is that with each cube, added there are 3 more hidden faces. Now I will try to find the nth term.
1st 2nd 3rd 4th 5th 6th
1 4 7 10 13 16
3 3 3 3 3
I am finding out if there is a pattern to the ratio of cubes to the number of hidden faces and finding the nth term.
With 1 Cube = 1 hidden face
With 2 Cubes = 4 hidden faces
With 3 Cubes = 7 hidden faces
With 4 Cubes = 10 hidden faces
With 5 Cubes = 13 hidden faces
With 6 Cubes = 16 hidden faces
Already I can see a pattern, which is that with each cube, added there are 3 more hidden faces. Now I will try to find the nth term.
1st 2nd 3rd 4th 5th 6th
1 4 7 10 13 16
3 3 3 3 3