Skyscrapers (continued)Team K

SkyscrapersTeam K

Before You Start

You are an intern at an architecture firm. You will help the architects study skyscrapers around the world and assist with making scale models of the buildings.

Activity

Building / Country / Height (ft)
Burj Khalifa / Dubai / 2,717
Taipei 101 Tower / Taiwan / 1,667
Shanghai World Financial Center / China / 1,614
Petronas Twin Towers / Malaysia / 1,483
Nanjing Greenland Financial Center / China / 1,476

You investigate several of the tallest
buildings in the world and collect the
data shown in the table at the right.

1.a.Write a ratio of the height of Burj Khalifato the height of the Nanjing Greenland Financial Center.

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b.Write this ratio as a decimal to the nearest hundredth.What does the decimal tell you about the sizes of these two buildings?

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Building / City / Height (ft)
Willis Tower / Chicago / 1,451
Trump Tower / Chicago / 1,389
Empire State Building / New York City / 1,250
Bank of America Tower / New York City / 1,200
John Hancock Center / Chicago / 1,128
Chrysler Building / New York City / 1,046

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c.There are 5,280 feet in one mile. Express the height of Shanghai World Financial Center in miles. Round to the nearest tenth of a mile.

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You also find data for some of the tallest skyscrapers in the United States.

2.a.The Willis Tower is about how many times as tall as the Chrysler Building?

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b.Burj Khalifa is about how many times as tall as the John Hancock Center?

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You also help three architects build scale models of the New York
City buildings. The architects want to know which scale factors to
use. Write the scale factors as decimals. If necessary, round to the nearest ten thousandth.

3.a.The architect for the Empire State Building model wants her model to be 4 ft tall. Write a ratio of the height of the model to the height of the actual building. What is the scale factor used for the model?

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b.The architect for the Bank of America Tower model wants his model to be 6 ft tall. Write a ratio of the height of the model to the height of the actual building. What is the scale factor used for the model?

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c.The architect for the Chrysler Building model wants her model to be 5 ft tall. Write a ratio of the height of the model to the height of the actual building. What is the scale factor used for the model?

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4.Your boss would like the models to be 0.005 times the size of the actual building. Which model meets this requirement?

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5.Quick ReportUse your results from this activity to complete the report below.Only include the New York City buildings in the table.

Building Model / Scale Factor / Meets Requirement?

6.ReflectExplain how you used each skill in this activity.

a.writing rational numbers as decimals

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b.comparing and ordering decimals

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– grade 8 • Readiness Lesson

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