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Area and Volume Scale Factor

Area and Volume Scale Factor. AREA SCALE FACTOR. 2cm. 10cm². 5cm. ENLARGE rectangle Scale Factor 2. 40cm². 4 cm. 10 cm. AREA SCALE FACTOR = 4. AREA SCALE FACTOR. 10cm 2. 2cm. 5cm. ENLARGE rectangle Scale Factor 3. 90cm². 6 cm. 15 cm. AREA SCALE FACTOR = 9. AREA SCALE FACTORS.

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Area and Volume Scale Factor

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  1. Area and Volume Scale Factor

  2. AREA SCALE FACTOR 2cm 10cm² 5cm ENLARGE rectangle Scale Factor 2 40cm² 4 cm 10 cm AREA SCALE FACTOR = 4

  3. AREA SCALE FACTOR 10cm2 2cm 5cm ENLARGE rectangle Scale Factor 3 90cm² 6 cm 15 cm AREA SCALE FACTOR = 9

  4. AREA SCALE FACTORS 2² 3² AREA SCALE FACTOR = LENGTH SCALE FACTOR SQUARED ASF = LSF²

  5. Example Questions - AREA Calculate the unknown areas Q1 Q2 5 cm 10 cm² 40 cm² 4 cm 12 cm² 8 cm Q3 15 cm 9 cm² 4 cm² 108 cm² 2 cm 3 cm

  6. Example Questions - SIDES Calculate the unknown lengths Q1 Q2 3 cm 10 cm² 250 cm² 2 cm 12 cm² y 10 cm Q3 6 cm x 18 cm² 8 cm² 48 cm² 2 cm 3 cm z

  7. Example Question ~ Scale Factor Madalyn built a scale model of the Gateway Arch in St. Louis, Missouri. The base at each end of the actual arch is shaped like an equilateral triangle with side lengths of 54 feet. Madalyn built her model using equilateral triangles for each base that were 1/2 foot long on each side.What is the scale factor? 108

  8. Example Question ~ Scale Factor and Area If the scale factor of the side length of the model to the arch is 108, what is the scale factor of the area of the model to the area of the arch? 11,664

  9. VOLUME SCALE FACTOR 1 cm 3 cm 6 cm³ 162 cm³ 2 cm 3 cm 6 cm ENLARGE cuboid Scale Factor 3 9 cm = 3³ VOLUME SCALE FACTOR = 27

  10. VOLUME SCALE FACTOR 4 cm 8 cm³ 8 cm 64cm³ ENLARGE cylinder Scale Factor 2 Volume Scale Factor = 2³ VOLUME SCALE FACTOR = LENGTH SCALE FACTOR CUBED VSF = LSF³

  11. Example Questions - VOLUME Q2 Q1 2 cm 5cm³ 8 cm³ 3 cm 27 cm³ 4.5 cm 135 cm³ 6 cm Q3 40 cm³ 5 cm³ 4 cm 2 cm

  12. Example Questions - SIDES Q2 Q1 2 cm 5 cm³ 6cm³ 1.5 cm 384 cm³ a 4 cm 6 cm b 40 cm³ Q3 120 cm³ 15 cm³ 3.6 cm 1.8 cm c

  13. Volume scale factor question A large cylinder has a volume of about 5,400 cm3. A small cylinder is similar to the large cylinder with a scale factor of 2/3. Which measurement is closest to the volume of the small cylinder? A. 1,600 cm3 B. 2,400 cm3 C. 2,700 cm3 D. 3,600 cm3

  14. Now, let’s practice!

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