Cubic identity 4

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About the activity

Icon objectives.jpg
To verify [math]a^3+b^3 = (a+b)(a^2-ab+b^2)[/math], using unit cubes

Get ready with

27 Unit cubes

What is a unit cube?

A unit cube is nothing but a cube all of whose sides are 1 unit long as shown below. 
This is a unit cube

  1. We say its dimension is 1 X 1 X 1.
  2. The volume of a 3-dimensional unit cube is 1 cubic unit.
  3. By joining unit cubes we can form cubes and cuboids of varied dimension.

Read more about using unit cubes [1]

Instructions for the activity

Download the attached file File:Cubesactivity4.pdf

Task for you

By taking different values of a and b, verify the result.

Explore more

  1. Cubic identity 1
  2. Cubic identity 2
  3. Cubic identity 3

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