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Understanding Similar Solids in Math

Learn how to find dimensions, surface area, and volume of similar solids through ratios and scale factors. Practice with examples and solve problems in this interactive session.

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Understanding Similar Solids in Math

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  1. Materials Reminders

  2. Get out your agenda if you see your name below. You need to come to my room tomorrow.

  3. Musical Math Find the surface area of the following solid. 3 ft 2 ft 2 ft

  4. Cornell Notes Topic: 7-9 Similar Solids Essential Question(s): How do I find the dimensions, surface area, and volume of similar solids?

  5. Questions: Notes: Cornell Notes What are similar solids? Similar Solids – two solids with the exact same shape with all corresponding faces and bases proportional Example: How do I find a missing measure? Write a proportion: A B 3 in 6 in 2 in X

  6. Questions: Notes: Cornell Notes How do I find ratios of surfaces areas for similar solids? Step 1 – Determine the scale factor between the two solids Remember: Scale factor from solid A to Solid B = or Step 2 – Square the scale factor Step 3 – Multiply the result from step 2 by a known area that corresponds to the missing area (X). Example: Assume the SF from pyramid A to B is 2. B A 2 ft2 X

  7. Questions: Notes: Cornell Notes How do I find ratios of volumes for similar solids? Step 1 – Determine the scale factor between the two solids Remember: Scale factor from solid A to Solid B = or Step 2 – Cube the scale factor Step 3 – Multiply the result from step 2 by a known area that corresponds to the missing area (X). Example: Assume the SF from pyramid A to B is 2. B A V = 2 ft3 V = X

  8. Concept Check In your table groups, use a WHITE BOARD to complete the table. B Assume the scale factor from A to B is 3. A x 2 in

  9. Homework Pages 402; 1-9 AND Cornell Notes Summary

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