Name_______________________________________Date__________Period________ Class- 7 Math Weekend Worksheet-3 Name:..............................................Roll:..............Day: Friday Date:..................... Geometry Lesson 2 - Scale Drawings Math 7-4 The scale of a map is 2 cm:15 km. Find the actual distance for each map distance. 1. 6cm 2. 5 cm 3. 13.2 cm A scale drawing has a scale of 3 in: 10 ft. Find the length on the drawing for each actual length. 4. 40 ft. 5. 1 3 ft 2 6. 6 ft 7. An architect designed an apartment building that was to be 196 ft. high. He made a model of 1 the building using a scale of inch = 1 foot. How high was the model? 2 8. Aaron bought a model airplane. The model used a scale of airplane is 18 in long, how long is the real airplane? inch = 50 feet. If Aaron's model 1. The scale of a map is 1 cm: 12km. What area on the map would represent a) 144 km2 b) 432 km2 c) 1296 km2 d) 2592 km2 2. The figure on the right is a rectangle, drawn to a scale of 1 cm: 150m. P 9 cm Q 5 cm S R Given that PQ= 9cm and QR=5cm, find the actual a) length and breadth of the rectangle; b) Area of the rectangle in km2 3. The scale of a map is 1: 20000. Find the area on the map which represents 124 km2 4. On a map whose scale is 1: 40000, the area of a housing estate is 50 cm 2 . Calculate the area in cm 2 , which represents the same housing estate on a second map whose scale is 1: 20000. 5. A model of a ship is made to a scale of 1: 200. The volume of a hall on the model is 250 cm 3 . Find the volume of the hall on the actual ship in m 3 . 9. A road map uses a scale of 1 inch : 4 miles. If the distance on the map between two towns is 3.8 inches, what is the actual distance between these two towns? 10. The actual distance between Chicago and Pittsburgh is 375 miles. If the scale on a map is 1 inch : 125 miles, what is the distance on the map? 11. Kim is looking at a map with a scale of 1 inch : 18 miles. If the distance between Kim's house and her friend's house on the map is 4 inches, how many miles away is her friend's house? 12. On a map, the distance between Washington DC and New York City is 1.5 inches. If the map scale is 1 inch : 125 miles, what is the actual distance between the 2 cities? Scale Drawings – Worksheet #1 For problems #1 – 2, use the following scale... 2 in : 35 miles 1) The distance between Troy City and Ben City is 315 miles. How far apart are they on the map? 2) Marking City is 5 inches away from Jamming City on the map. What is the actual distance between the two cities? 3) A blueprint of a house has a scale of 1 in : 6 ft. The living room has dimensions of 18 ft by 24 feet. What are the dimensions on the blueprint of the living room? (HINT: Use two different proportions!) 4) A model of a car has a scale of 3 cm : 2 m. The length of the actual hood of the car is 1 m. What is the length of the hood of the model? 5) A 120-ft long playground is just 15 in. on the scale drawing. What is the scale on the scale drawing? Scale Drawings – Worksheet #1 6) The scale on a map is ¼ in : 18 mi. The state capital is 252 miles from the border. How far is the state capital from the border on the map? 7) A model length of 12 cm. represents an actual length of 102 ft. What is the scale for the model? Other proportion review: 8) Jenny can type 1,200 words in just 15 minutes. How many words can she type in an hour? 9) A tree casts a shadow that is 24 ft long. A 4-ft tall young boy casts a shadow that is 3 ft long. The two triangles created are similar. How tall is the tree? (HINT: Draw a picture first!) 10) Given: ∆ABC ~ ∆DMV ; DM = _______ M 30 in A 16 in V B 20 in C D NAME ______________________________________________ DATE 6-3 Scale Drawings and Models ____________ PERIOD _____ (Pages 276–280) When objects are too small or too large to be drawn or constructed at actual size, people use a scale drawing or a model. The scale is the relationship between the measurements of the drawing or model to the measurements of the object. The scale can be written as a scale factor, which is the ratio of the length or size of the drawing or model to the length of the corresponding side or part on the actual object. Examples a. The key on a map states that 1 inch is equal to 10 miles. Write the scale for the map. 1 inch 10 miles b. According to EXAMPLE A, how far apart would two cities be in actual distance if they were 5 inches apart on the map? inches miles Write a fraction as . 1 5 10 x Write a proportion using the scale. 1 x 5 10 x 50 mi Use the property of proportions. Solve. Practice On a set of blueprints for a new home, the contractor has 1 established a scale that states inch 10 feet. Use this 2 information for problems 1–6. 1. What is the actual length of the living room whose distance is 1 inch on the blueprints? 3 2. What is the actual width of the living room whose distance is inch on 4 the blueprints? 9 3. What is the actual height of the living room whose distance is inch on 20 the blueprints? 4. If the buyer would like a kitchen to be 18 feet in length, how long should the kitchen be in the blueprints? 5. What are the dimensions on the blueprints of a bedroom that will be 18 feet by 16 feet when the house is built? 6. If the den has dimensions of 0.5 inch by 0.6 inch on the blueprints, what will be the dimensions of the actual den after the house is built? 7. Standardized Test Practice A model car has a scale of 1: 24, where the model dimensions are in the numerator and the actual car dimensions are in the denominator. If the tires on the model have a diameter of 1 inch, how long is the diameter of an actual tire on the car? 2 C 12 inches 5. 0.9 inch by 0.8 inch 6. 10 feet by 12 feet 7. C Glencoe/McGraw-Hill 46 4. 0.9 inch © Parents Signature: 3. 9 feet Subject Teacher: Subrata Sutradhar D 20 inches 2. 15 feet B 10 inches Answers: 1. 20 feet A 9 inches Glencoe Pre-Algebra

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