Scale Drawings and Scale Models
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1 7040 Practice A Scale Drawings and Scale Models Identify the scale factor. Choose the best answer.. Person: 72 inches Action figure: 6 inches A B Fish: 6 inches Fishing lure: 2 inches A B 6 8 Identify the scale factor. C D C D Dog: 24 inches Stuffed animal: 8 inches F G House: 30 feet Dollhouse: 3 feet 5. Guitar Ukulele 6. Car Toy Car Length (in.) 36 8 Length (ft) 2 3 F G 3 0 H J H J _ 7. Flute Piccolo 8. Toy Poodle Poodle Length (in.) 30 0 Height (in.) 56 8 _ 9. On a road map of New York, the distance from New York City to Albany is 3 inches. The map scale is in:50 mi. What is the actual distance between the cities? 0. On a scale drawing, a bookshelf is 8 inches tall. The scale factor is. What is the height of the bookshelf? 8
2 7040 Practice B Scale Drawings and Scale Models Identify the scale factor.. Alligator Toy Alligator Length (in.) Airplane Model Length (ft) Car Toy Car Length (ft.) _ Person Action Figure Height (in.) Boat Model Length (in.) _ Fish Fishing Lure Length (in.) Tiger Stuffed Animal Length (in.) _ House Dollhouse Height (ft) _ 9. On a scale drawing, a school is.6 feet tall. The scale factor is. Find the height of the school On a road map of Pennsylvania, the distance from Philadelphia to Washington, D.C., is 6.8 centimeters. The map scale is 2 cm:40 mi. What is the actual distance between the cities?. On a scale drawing, a bicycle is inches tall. The scale factor is. Find the height of the bicycle. 6
3 7040 Practice C Scale Drawings and Scale Models Identify the scale factor.. Bear Stuffed Animal Height (in.) House Dollhouse Height (ft) Airplane Model Length (ft) _ 4. Alligator Toy Alligator Length (in.) _ The scale factor of each model is :6. Find the missing dimensions. 5. barn Item Actual Dimensions Model Dimensions height: 32 ft length: 6. submarine length: height: length: 3.5 ft length: 7. bookcase height: 96 in. height: 8. tree height: 9. car length: 3 ft height: 5.5 ft 0. shark length: height: length: height: length: ft 2 2 ft 4 4 in.. Hillary took a photograph of her house, which has an actual height of 28.5 feet. If the house measures 3.6 inches tall in the photograph, what is the scale factor? 2. On a road map, the distance from Portland to Seattle is 8 centimeters. The map scale is 2 cm:37.5 mi. What is the actual distance between the cities? 3. A sculptor plans a statue by making a drawing to scale. On the drawing, the statue is inches tall. The scale factor in the drawing is. Find the height of the statue. 23
4 7040 Review for Mastery Scale Drawings and Scale Models The dimensions of a scale model or scale drawing are related to the actual dimensions by a scale factor. The scale factor is a ratio. The length of a model car is 9 in. The length of the actual car is 62 in can be simplified to 8. If you know the scale factor, you can use a proportion to find the dimensions of an actual object or of a scale model or drawing. The scale factor of a model train set is. A piece of track in the 87 model train set is 8 in. long. What is the actual length of the track? model length actual length 8 x 8 x 87 x 696 The actual length of track is 696 inches. The distance between 2 cities on a map is 4.5 centimeters. The map scale is cm: 40 mi. distance on map actual distance 4.5 cm x mi cm 40 mi The actual distance is 80 miles. 4.5 x 40 9 in. 62 in The scale factor is 8. x 80 Identify the scale factor.. Photograph: height 3 in. Painting: height 24 in. photo height painting height in. in. 3. On a scale drawing, the scale factor is. A plum tree is 7 inches tall on 2 the scale drawing. What is the actual height of the tree? 2. Butterfly: wingspan 20 cm Silk butterfly: wingspan 4 cm silk butterfly butterfly cm cm 4. On a road map, the distance between 2 cities is 2.5 inches. The map scale is inch:30 miles. What is the actual distance between the cities? _
5 7040 Challenge Balls of Sports Each circle below is a scale drawing of a different type of ball used in a sport. Measure the diameter of each circle to the nearest tenth of a centimeter. Use the scale to find the actual diameter of the ball to the nearest tenth of a centimeter. Use the chart below to find the sport in which the ball is used. Diameter of Balls Used in Various Sports Basketball 24.0 cm Baseball 7.5 cm Golf 4.2 cm Table Tennis 3.8 cm Tennis Volleyball 6.4 cm 2.0 cm Circle A B C D E F Scale cm 3 cm cm 5 cm cm 2 cm cm cm cm.4 cm cm 0 cm Measured Diameter Actual Diameter Sport
6 7040 Problem Solving Scale Drawings and Scale Models Write the correct answer.. The scale on a road map is cm:500 mi. If the distance on the map between New York City and Memphis is 2.2 centimeters, what is the actual distance between the two cities? 2. There are several different scales in model railroading. Trains designated as O gauge are built to a scale factor of :48. To the nearest hundredth of a foot, how long is a model of a 50-foot boxcar in O gauge? 3. For a school project, LeeAnn is making a model of the Empire State Building. She is using a scale of cm:8 ft. The Empire State Building is,252 feet tall. How tall is her model? Choose the letter for the best answer. 5. The scale factor for Maria s dollhouse furniture is :8. If the sofa in Maria s dollhouse is 7 inches long, how 2 long is the actual sofa? A 54 inches B 60 inches C 84 inches D 5 2 inches 7. Josh wants to add a model of a tree to his model railroad layout. How big should the model tree be if the actual tree is 35 inches and the scale factor is :90? A 395 inches B 39.5 inches C 35 inches D 3.5 inches ` 4. A model of the Eiffel Tower that was purchased in a gift shop is inches tall. The actual height of the Eiffel Tower is 985 feet, or,820 inches. What scale factor was used to make the model? _ 6. The Painted Desert is a section of high plateau extending 50 miles in northern Arizona. On a map, the length of this desert is 5 centimeters. What is the map scale? F centimeter:25 miles G 5 centimeters:00 miles H centimeter:30 miles J centimeter:50 miles 8. The scale on a wall map is in:55 mi. What is the distance on the map between two cities that are 99 miles apart? F 44 inches G.8 inches H 2.5 inches J 0.55 inches
7 7040 Reading Strategies Read a Map A scale drawing has the same shape, but is not the same size, as the object it represents. A map is an example of a scale drawing. This is a map of a campground. The scale is cm:0 ft. To find how far the campground entrance is from the canoe rental office, follow the steps. Use a centimeter ruler to measure. Step : Measure the distance in centimeters. The distance is 4 centimeters. Step 2: Set up a proportion using the map scale as one ratio. cm 4 cm 0 ft x ft Step 3: Set up cross products. x 4 0 Step 4: Solve to find the value of x. x 40 Use the map to answer each question.. How many centimeters is Campsite 3 from the water? 2. Write a proportion to find the distance from Campsite 3 to the water. 3. How many centimeters is Campsite 3 from the canoe rental office? 4. Write a proportion to find the distance from Campsite 3 to the canoe rental office.
8 7040 Puzzles, Twisters & Teasers Let s Rock! Find and circle these words in the word search. Find a word that solves the riddle. Circle it and write it on the line. scale model drawing factor ratio size actual dimensions represent proportion What do you do to make a baby sleep on a space ship? You.
9 LESSON 4-0 Practice A. C 2. F 3. B 4. G miles inches Practice B feet miles inches Practice C length: 56 ft; height: 2 ft 6. length: 300 ft 7. height: 6 in. 8. height: 40 ft length: 9.75 in.; height: 4.25 in ft. :95 Challenge Measured Diameter Actual Diameter Sport. 2.5 cm 7.5 cm baseball 2..6 cm 24 cm basketball cm 6.4 cm tennis cm 3.8 cm table tennis cm 4.2 cm golf cm 2 cm volleyball Problem Solving.,00 miles feet long centimeters tall 4. inch 400 inches 5. B 6. H 7. D 8. G Reading Strategies. 3 centimeters 2. Possible answer: 0 3 x 3. 5 centimeters 4. Possible answer: 0 5 x miles inches Review for Mastery. 3 in. 24 in. ; cm 20 cm ; inches miles
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