Surface Area & Housing Inequities Equity Quiz

What does surface area measure?

The space inside a building

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The total outside covering of a shape

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The number of rooms in a building

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The amount of air around a building

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The formula for surface area of a rectangular prism is:

SA = lw + wh + lh

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SA = l × w × h

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SA = 2lw + 2lh + 2wh

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SA = lw + 2wh

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If a building is 100 ft long, 40 ft wide, and 60 ft high, what is its surface area?

12,400 ft²

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24,800 ft²

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14,200 ft²

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28,400 ft²

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Which building is likely to have more sunlight and air flow?

A tall, narrow tower with small windows

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A wide, low complex surrounded by trees

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A dark basement apartment

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A crowded high-rise

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Why might smaller surface areas lead to less comfort for families?

Less air and sunlight reach each home

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Smaller buildings are easier to clean

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Taller buildings always have more comfort

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They use fewer materials

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When comparing two buildings, what does a larger surface area suggest?

The building has more outside exposure, space, and light

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The building has fewer windows

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The building uses less energy

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The building is less stable

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In the lesson, which equation helps compare fairness between housing zones?

Area = l × w

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SA = 2lw + 2lh + 2wh

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V = l × w × h

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A = πr²

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How does math help city planners promote fairness in housing?

It shows where surface areas are smallest

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It provides data to design healthier, more equitable spaces

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It helps them build taller buildings

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It reduces construction time

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Explain how surface area can show differences in comfort or fairness between two neighborhoods.

This response will be awarded full points automatically, but it will be reviewed and possibly adjusted after submission.

If you could design a fair apartment building, what features would you include to balance math, comfort, and equity?

This response will be awarded full points automatically, but it will be reviewed and possibly adjusted after submission.

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