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?
A.3 in.
B.12 in.
C.60 in.
D.105 in.

To find the height of the scale model in inches, we can use the given scale: 2 inches represents 30 feet. The actual height of the sports stadium is 180 feet, so we need to determine how many inches this corresponds to in the model.

Here’s the process:

1. The scale is 2 inches = 30 feet.
2. Set up a proportion to solve for the height of the model in inches:
   \[
   \frac{2 \text{ inches}}{30 \text{ feet}} = \frac{x \text{ inches}}{180 \text{ feet}}
   \]
3. Cross-multiply and solve for \(x\):
   \[
   2 \times 180 = 30 \times x
   \]
   \[
   360 = 30x
   \]
4. Divide both sides by 30:
   \[
   x = \frac{360}{30} = 12
   \]

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

The correct answer is **B. 12 inches**.

Would you like further explanation or have any questions about proportions? 

Here are five related questions to expand your understanding:
1. How would the model’s height change if the scale were 1 inch = 20 feet?
2. What would be the height of a building 300 feet tall in the same scale model?
3. If the model's height is 15 inches, what is the actual height of the stadium in feet?
4. How would you set up the problem if you were given the model height and needed to find the real height?
5. What if the width of the stadium is 600 feet—how wide would the model be?

**Tip:** When working with scales, always ensure that the units on both sides of the proportion match for consistency!

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?
A. 3 in.
B. 12 in.
C. 60 in.
D. 105 in.

Learn how to calculate the height of a scale model of a sports stadium using the ratio of 2 inches representing 30 feet. This problem involves setting up and solving proportions, making it a great practice problem for students in Grades 6-8.

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