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Exploring Volume Relationships with Cubes: A Hands-On Activity

In today's hands-on activity, we will explore the fascinating world of cubes using a bag of colorful cubes. Participants will construct both a large cube with side length 'x' and a smaller cube with side length 'y'. We'll calculate the volumes of both cubes and then creatively integrate these shapes by replacing part of the larger cube with the smaller one. We'll also express the new volume algebraically. This activity helps in understanding the difference and sum of cubes while fostering creativity and mathematical reasoning.

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Exploring Volume Relationships with Cubes: A Hands-On Activity

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Presentation Transcript

  1. Playing with Cubes Today…..

  2. With the given bag of cubes, • Build a large cube and a small cube • Let the length of each side of the larger cube be x and the length of the smaller cube be y. [STOP] • Volume of larger cube = • Volume of smaller cube = • Replace part of the larger cube by the smaller cube to form 1 large cube with 2 colours. Express algebraically in terms of x and y , the volume of the large cube that you have just formed. Example, _____+_____+_____+______

  3. Hey, this is the result….. Difference of two cubes

  4. How do you derive the sum of two cubes? Sum of two cubes

  5. Sum and Difference of two cubes D P S SAME , DIFFERENT , PLUS

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