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Change in Dimensions

Change in Dimensions . We are learning to…determine how volume is affected when the dimensions of an object are changed. Wednesday, April 2, 2014. Change in Dimensions. What did your group discover? How did the volume change when the dimensions were doubled?. Change in Dimensions. 4. 3. 1.

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Change in Dimensions

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  1. Change in Dimensions We are learning to…determine how volume is affected when the dimensions of an object are changed. Wednesday, April 2, 2014

  2. Change in Dimensions • What did your group discover? • How did the volume change when the dimensions were doubled?

  3. Change in Dimensions 4 3 1 • To calculate the original volume I did…____×____×____ • With the volume doubled I did… _______×_______×_______ _______×_______×_______ = _______ • The original volume was multiplied by a scale factor of 8! • (8)(12 cubic cm) = 96 cubic cm (2) (2) 4 1 (2) 3 (2) (2) (2) 8

  4. Change in Dimensions • How would the volume of a prism change if the dimensions are tripled? • The volume would be multiplied by a scale factor of 27. • Why? If the volume were tripled then… _______×_______×_______ _______×_______×_______ = _______ (3) (3) L (3) H W (3) (3) (3) 27

  5. Change in Dimensions • Sandy doubled the width, tripled the length, and quadrupled the height of a rectangular prism. How would the original volume of the rectangular prism change? Explain why in complete sentences. 2(w) x 3(l) x 4(h) 2 x 3 x 4 = 24 The original volume will change by a scale factor of 24!

  6. Change in Dimensions • Nate believes that if the dimensions of a prism are doubled then the volume of the prism is doubled. Pretend that you are the teacher and explain Nate why he is incorrect.

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