In a scale model of a boat, 1 inch represents 10 feet.Scale:1 in 10 ftAnswer the following.(a)In the scale model, the length of the boat is 8 inches. What is the length of the real boat?feet(b)The height of the real boat is 30 feet. What is the height of the boat in the scale model?inches
Question
In a scale model of a boat, 1 inch represents 10 feet.Scale:1 in 10 ftAnswer the following.(a)In the scale model, the length of the boat is 8 inches. What is the length of the real boat?feet(b)The height of the real boat is 30 feet. What is the height of the boat in the scale model?inches
Solution
(a) To find the length of the real boat, you multiply the length of the model by the scale factor. In this case, the length of the model is 8 inches and the scale factor is 10 feet per inch. So, you multiply 8 inches by 10 feet per inch to get 80 feet. Therefore, the length of the real boat is 80 feet.
(b) To find the height of the boat in the scale model, you divide the height of the real boat by the scale factor. In this case, the height of the real boat is 30 feet and the scale factor is 10 feet per inch. So, you divide 30 feet by 10 feet per inch to get 3 inches. Therefore, the height of the boat in the scale model is 3 inches.
Similar Questions
This weekend, Denise and her father are building a boat from a model kit. The kit uses a scale of 1 inch on the model to represent 20 inches on the actual boat.Complete the table.Inches on actual boat 20 40 Inches on model 1 4 5Graph the data from the table.10203040506070809010012345678910xyInches on actual boatInches on modelSubmitQuestionsanswered19Timeelapsed00 23 23HR MIN SECSmartScoreout of 10063Need a break?
Pam drew a scale drawing of a game room. She used the scale 1 inch = 2 feet. If the air hockey table's length is 5 inches in the drawing, how long is the actual air hockey table? 5 feet 10 feet 15 feet 20 feetSubmit
Scale is the proportion used in determining the relationship between an actual object and a model of the object.For example, real estate developers often make models of shopping centers. If a model of a store has a scale of 1 centimeter equaling 20 feet, what is the actual length of a store that measures 5 cm in length on the model? A. 100 feet B. 50 feet C. 200 feet D. 20 feet
In a scale model of a television, 1 centimeter represents 6 inches.Scale:1 cm 6 inAnswer the following.(a)The length of the real television is 48 inches. What is the length of the television in the scale model?centimeters(b)In the scale model, the height of the television is 9 centimeters. What is the height of the real television?inches
Scott measured a kitchen and made a scale drawing. He used the scale 1 inch : 5 feet. The actual length of a countertop in the kitchen is 10 feet. How long is the counter in the drawing? inchesSubmit
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.