Math Hidden Faces Investigation

Math Hidden Faces Investigation

In this coursework I would be investigating the number of hidden faces

in different cubes and cuboids. I would provide predictions to make

sure I get the right results. After that I would provide diagrams of

the cubes and I would explain how I found it. In each section of a set

of cubes I would provide formula's that I would find. I would also

give information that the pattern carries on.

The reason why I am doing this investigation about cubes is because to

find the hidden faces and total faces which would be added near the

diagrams. I am going to increase one dimension at a time while holding

the other one the same. I will start by holding the width and the

height by one while increasing the depth by one.

Moving on to deeper investigation I would investigate cubes that have

more cubes and rows of cubes which would lead to more accurate

results. I would again provide total faces and hidden faces. The

reason why I would go into such deeper investigation is because to get

more information about the cubes with more of them and check if the

pattern carries on.

Overall of my coursework I would provide a lot of information about

what I have done and how I have done it. The rule that I must beware

of is if the hidden faces pattern changes in to a different number

that means that something is going wrong. Finally I will find formulas

for the nth term for the number of hidden faces for each particular

dimension. Hopefully, I will then try to find general formula for the

total numbers of hidden faces in any given cube/cuboids.

Maths Evaluation for hidden fa

Evaluation

I have used a systematic approach when drawing the cubes and cuboids.

I started with smaller cubes and increased their size. I increased one

dimension at a time while holding the other two exactly the same. I

started off by holding the width and height by one while increasing