# Teenagers and Computers Data And Statistics Project

The Big Red Painted Cube Project

By

Ruth Sutton

Contents

1. Introduction  to Part 1 The Big Painted Red Cube

1. Cube Tables

1. Explanation of why there isn’t a length of 1

1. Predictions for lengths 6

1. Explanation of the 10 x 10 x 10 cube

1. Formula explanation

1. The 10 x 10 x 10 table

1. Introduction to Part 2  The Big Painted Red Cube

1. How the cuboid works for the 5 x 4 x 3

1. Another “ examples

1. Formula Explanation

1. Explanation of how a Cuboid Formula turns into the Cube Formula

1. Introduction to Part One The Big Painted Red Cube.

A stage set for a magic act has as one prop a large cube measuring 10 feet by 10 feet by 10 feet. It is made up of a lot of little yellow cubes each 1foot in length attached together, all together there was 1000 cubes.

The big cube was dipped into a pot of red paint, and was then suspended from the ceiling on a cord, unfortunately the cord broke and it came crashing down breaking up into all the little cubes which all came apart. Matt the stage hand was given the job of collecting them all up. He noticed that some were all yellow then some had 1 red face, some had 2 red faces and so on. He wondered about how that had come about. Obviously this was because only the surface area was red.

1. Cube Tables

a. 2 x 2 x 2 Cube

Total                                                                     8

b. 3 x 3 x 3 Cube

Total                                                               27

c. 4 x 4 x 4 Cube

1. Explanation of why there isn’t a length of 1

There cannot be a length 1 as then this would obviously just be 1 at every measurement .It would also only have 6 faces

1. Predictions of a 6 x 6 x 6 cube.

Once I had half filled in my chart , with the 2,3,4  chart I was quite sure that I could see a few patterns within the data. First of all the most noticeable was ...