Scale Drawings and Scale Models – Homework (Day One)



Scale Drawings and Scale Models - Homework

I. Identify the scale factor [pic] in the following problems.

1.) Model Car Race Car

Length (in.) 11 132

2.) Picture Eagle

Wingspan (in.) 6 90

3.) Action Figure Michael Jordan

Height (cm) 25 200

4.) Model Capitol Building

Height (ft.) 2 300

II. Scale Drawing Word Problems

Use proportions to solve each problem. Show all steps. Calculator permitted.

5. The scale on a road map is 1 cm = 500 miles. If the distance on the map between New York City and Memphis is 2.2 cm, what is the actual distance between the two cities?

6. For a school project, LeeAnn is making a model of the Empire State Building. She is using a scale of

1 cm = 8 ft. If the Empire State Building is 1,248 ft. tall in real life, then how tall is her model?

7. The scale factor for Maria’s dollhouse furniture is 1 in : 8 in. If the sofa in Maria’s dollhouse is [pic] inches long, then how long is the actual sofa?

8. The scale for most model trains is 1 ft. : 48 ft. If the actual length of a train is 288 ft., then what is the length of the model train?

9. In a photograph, a sculpture is 4.2 cm tall and 2.5 cm wide. The scale factor is 1 cm to 16 cm. Find the actual size of the sculpture. (Hint: Set up two proportions, one for height and one for width)

10.) Josh wants to add a model of a tree to his model train layout. How big should the model tree be if the actual tree is 315 inches and the scale factor is 1: 90?

11. The scale on a map is 1 inch = 55 miles. What is the distance on the map if two cities are 99 miles apart in real life?

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