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Mathematics 18 Online
OpenStudy (anonymous):

The Empire State Building reaches 1250 feet at the top floor. Keira has a model of this landmark building that is 8 inches tall. What is the scale between the model and the actual building

OpenStudy (mathstudent55):

Since the scale model is meaaured in inches and the building in feet, you have different units. You need to have the same unit, so convert 1250 ft into inches. Then divide that by 8 inches. Do you know how to convert ft into inches?

OpenStudy (anonymous):

divide that's all right?

OpenStudy (mathstudent55):

1 ft = 12 in., right?

OpenStudy (anonymous):

so i divide 1250 by 100 to get inches?

OpenStudy (mathstudent55):

No. Follow along with my questions. 1 foot = 12 inches, right?

OpenStudy (anonymous):

ok go on then what

OpenStudy (mathstudent55):

1 foot = 12 inches. Do you agree with that?

OpenStudy (mathstudent55):

I have to go now, so I'll just explain it to you. 1 foot = 12 inches That means if you have a piece of paper that measures 1 foot long, it also measures 12 inches. If the piece of paper measures 2 feet, it measures 24 inches. For every foot, you get 12 inches. For the same length, the number of inches is always 12 times larger than the number of feet. You need to convert the height of the building, 1250 ft, into inches. That means, multiply 1250 by 12. That'll give you the height of the building in inches. Then you divide that by 8 inches. That is the scale. The building is 1875 times larger than the model, so the model is in a 1/1875 scale.

OpenStudy (anonymous):

Yes

OpenStudy (anonymous):

OMG thank you so much sorry i took so long

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