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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