Activity 3 - Submit your answers in a word document via Edmodo
The cubes below are made from smaller 1 x 1 x 1 cubes. They are painted according to the following rules:
1 x 1 x 1 cubes with 3 faces showing are painted purple.
1 x 1 x 1 cubes with 2 faces showing are painted white.
1 x 1 x 1 cubes with 1 faces showing are painted grey.
1 x 1 x 1 cubes with 0 faces showing are painted red.
The cubes below are made from smaller 1 x 1 x 1 cubes. They are painted according to the following rules:
1 x 1 x 1 cubes with 3 faces showing are painted purple.
1 x 1 x 1 cubes with 2 faces showing are painted white.
1 x 1 x 1 cubes with 1 faces showing are painted grey.
1 x 1 x 1 cubes with 0 faces showing are painted red.
1. For each of the cubes shown, count the number of purple, white, grey and red 1 x 1 x 1 cubes.
2. Predict how many of each colour of cube there will be in a larger 5 x 5 x 5 cube.
3. Write algebraic formulae for the number of each colour of cube to be found in an n x n x n cube.
4. Setup a spreadsheet in order to display the results of this task. It may look similar to this one:
2. Predict how many of each colour of cube there will be in a larger 5 x 5 x 5 cube.
3. Write algebraic formulae for the number of each colour of cube to be found in an n x n x n cube.
4. Setup a spreadsheet in order to display the results of this task. It may look similar to this one: