**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**.

**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: