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Scale Models: Understanding and Using Scale in Models and Drawings

Learn about scale models and drawings, their definition, scale factors, and how to solve scale-related problems. Discover the importance of proportions and how to determine missing values. Explore practical examples and applications of scale in design projects.

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Scale Models: Understanding and Using Scale in Models and Drawings

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Presentation Transcript

  1. Starter

  2. Scales! • Has anyone made a scale model before? • What did you make? • How would you explain what a scale model is?

  3. Scale Models/Drawings • A scale model or a scale drawing is used to represent an object that is too large or too small to be drawn or built at actual size

  4. Scale • Definition: The scale gives the relationship between the measurements on the drawing or model and the measurements of the real object • Ex: 1in = 3ft 1:24

  5. Scale Factor • The ratio of a length on a scale drawing to the corresponding length on the real object is called the scale factor • If the scale is: 2in = 16 in • Then the Scale factor is: 2/16 or 1/8

  6. Scale Factor • Another way to think about it is: • What did you multiply the original amount by to get to the model size? • Ex: Scale 2:6 • What did you multiply by? • Scale factor is 3.

  7. The relationship is proportional! • Since the relationship of scales is proportional, we can use a proportion to determine missing values • Ex: A set of landscape plans shows a flower bed that is 6.5 inches wide. The scale on the plans is 1 in = 4 feet. What is the width of the actual flower bed?

  8. How to solve • Use your scale factor as the first ratio • Don’t forget to label!!!! • Scale factor is 1 in/4 feet • Your actual measurement is your second ratio • Make sure to line up the units correctly • Actual measurement is 6.5 in/ x feet

  9. Set up the proportion • 1in/4ft = 6.5in/xft • Cross multiply and solve! • X = 26 ft

  10. Determine the Scale The inside of the Lincoln Memorial contains three chambers. The central chamber, which features a marble statue of Abraham Lincoln, has a height of 60ft. Suppose a scale model of the chamber has a height of 4 in. What is the scale?

  11. How to solve • Write the ratio of the height of the model to the height of the actual statue: 4in/60ft • We want the scale in simplest form, so write your new ratio as 1/x • Set up the proportion and solve 4in/60ft = 1in/x 4x = 60 x = 15 ft

  12. Using scales • Antonio is designing a room that is 20ft long and 12 ft wide. Find the lengths of the walls of the scale drawing of the room. Use the scale of 0.25in = 4ft • Your first ratio is going to be your scale .25in/4ft • Your second ratio is what you are trying to find. You will need write a ratio for each length • Xin/20ft • Win/12ft

  13. Cont • Scale.25in = x in Actual 4ft 20ft 4x = (.25)20 4x = 5 X = 5/4 in or 1.25in

  14. Scale.25in = w in Actual 4ft 12ft • 4w = (.25)12 • 4w = 3 • w = ¾ in or .75in

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