An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet. The height of the sports stadium is 180 feet.

What is the height of the scale model in inches?

To find the height of the scale model, we use the given scale: 2 inches represents 30 feet. The real height of the sports stadium is 180 feet.

We can set up a proportion based on the scale:

\[
\frac{2 \text{ inches}}{30 \text{ feet}} = \frac{x \text{ inches}}{180 \text{ feet}}
\]

Now, solve for \(x\):

\[
x = \frac{2 \times 180}{30} = \frac{360}{30} = 12 \text{ inches}
\]

Thus, the height of the scale model is **12 inches**.

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. If 2 inches represents 40 feet, what would be the height of a 240-foot building in the scale model?
2. How long would a 300-foot stadium be in the same scale model?
3. What is the scale factor in feet per inch for this model?
4. If the model's height is increased to 18 inches, what is the new real-life height of the stadium?
5. How would the width of a 500-foot stadium translate into inches using this same scale?

**Tip:** Always use proportions to solve scale model problems, making sure both sides of the proportion represent the same units.

An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet. The height of the sports stadium is 180 feet. What is the height of the scale model in inches?

Solve how to find the height of a scale model of a sports stadium, using a scale where 2 inches represents 30 feet. The real stadium is 180 feet tall. Learn the key steps using proportions and scale factors. Ideal for Grades 6-8.

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