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Understanding Scale Factor for Area and Volume

Pre-test review on the concept of scale factor and its relation to area and volume in geometry. Solve for scale factor and calculate areas and volumes of similar shapes using scale factor. Review of basic concepts and practice problems included.

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Understanding Scale Factor for Area and Volume

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  1. Scale Factor and the relationship to area and volumePRE TEST GLE 0706.2.3 0706.4.3 SPI: 0706.2.7 0706.4.3

  2. Let’s review, what we know about similar shapes. x 1.75 cm 2.8 cm 5.6 cm Solve for x What is the scale factor?

  3. Try again 8 m x 6 m 1.5 m Solve for x What is the scale factor?

  4. The second quadrilateral is half as tall and half as wide. 3.5 cm 5.6 cm This means the scale factor is ?. 1.75 cm 2.8 cm

  5. If the next shape triples in size, what is the area of the larger shape.? 4 6 5

  6. Using the formula for scale factor, what is the area of the red rectangle? 2m 6m 18m

  7. If the scale factor is ½ what would be the area of the smaller? 10 cm

  8. 5 cm 3 cm 10 cm 30 cm The scale factor is 3, because the size has tripled. What is the volume of the larger prism?

  9. 5 m 5 m 30 m 10 m What is the scale factor? What is the volume of the small?

  10. Now Check yourself !! Answers:

  11. Now Check yourself !! Answers: Assume all the shapes are cubes

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