SBI-Ratio-ScaleDrawing Concept Flashcards
Scale drawing/ scale model: A drawing or model that represents a real object that is too large or too small to be drawn at actual size. The scale of the drawing or model is the ratio of the size of the drawing to the actual size of the object. Common scale drawings include maps of cities and blueprints of buildings.
Scale factor: A ratio of the copy size to the actual size of the object. It is also the value of the ratio given in the scale. For example, consider a scale drawing with a scale of “1 foot: 100 feet.” This means that the scale is the ratio 1 foot: 100 feet, which indicates that 1 foot on the drawing represents 100 feet of actual length. And the value of this ratio, 1:100 , is called the scale factor for the drawing.
Find the scale factor indicating how much bigger an actual door is than how it is drawn on a blueprint if 1 centimeter represents 2 decimeter on the blueprint.
The scale on a map of Utah indicates that 1 centimeter represents 5 kilometers. What is the scale factor that indicates how much bigger the state of Utah is than how it is drawn on the map?
(Note: 1 kilometer = 100,000 cm)
On the map of the Walt Disney World Theme Parks, the scale is 1 inch on the map represents 3 miles in the actual theme park. What is the actual distance between the Magic Kingdom and the Animal Kingdom when it is 4 inches on the map?
The Museum of Natural History has an exhibit of a life-sized wolf. In the gift shop, they sell a wolf stuffed animal that is 8 inches long and 4 inches tall. If the life-sized wolf is 5.8 feet long and 2.7 feet tall, what is the ratio of the actual length of the wolf stuffed animal to the length of the life-sized wolf? What is the ratio of the actual height of the wolf stuffed animal to the height of the life-sized wolf? Are these two ratios the same? Is the wolf stuffed animal a scale model of the actual wolf? Why or why not?
Tariq’s model of a truck is 9 inches long, and the scale used for creating the model is 0.5 inches : 3 feet. He determined that the actual truck must be 27 feet long. Is this correct? Explain.
The scale on a map of San Francisco is 3 cm : 2 mi. The distance between the Golden Gate Bridge and the Muir Woods National Monument is 9.2 miles. How far apart on the map (in cm) are the two attractions?
The new bridge over the Mississippi River, measures 1,216 feet long. If the model the builders used had a scale of 1 inch : 25 feet, how long is the model?
