An artist built a scale model of a skyscraper using a scale in which 3 centimeters represents 45 meters. The height of the skyscraper is 360 meters.

What is the height of the scale model in centimeters?

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The height of the scale model is (Select)28162432

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  centimeters.

We know that 3 centimeters represents 45 meters in the scale model. 

To find the height of the model corresponding to 360 meters, we can set up a proportion:

\[
\frac{3 \, \text{cm}}{45 \, \text{m}} = \frac{x \, \text{cm}}{360 \, \text{m}}
\]

Now, solve for \( x \):

\[
x = \frac{3 \times 360}{45} = 24 \, \text{cm}
\]

So, the height of the scale model is **24 centimeters**.

Would you like further details on this? Here are some related questions:

1. How would the model height change if the skyscraper were taller?
2. What would the model height be for a 500-meter skyscraper using the same scale?
3. If the scale was changed to 1 cm representing 10 meters, what would the model height be?
4. How does the concept of a scale model help in architectural planning?
5. What is the actual height of a 1-meter model using this scale?

**Tip:** Always set up a proportion to solve problems involving scale models.

An artist built a scale model of a skyscraper using a scale in which 3 centimeters represents 45 meters. The height of the skyscraper is 360 meters. What is the height of the scale model in centimeters?

Learn how to calculate the height of a scale model of a skyscraper using proportions. This problem explains how 3 cm represents 45 meters and how to find the model's height for a 360-meter skyscraper. Suitable for students in Grades 6-8.

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