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.


The scale given is:

- 2 inches represent 30 feet.

To find the height of the scale model in inches, use the ratio provided:

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

Now, solve for \(x\):

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

\[
x = \frac{360}{30} = 12 \, \text{inches}
\]

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

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

Would you like further details or have any questions?

### Related Questions:
1. If the width of the stadium is 240 feet, what would be the width of the model in inches?
2. What would be the scale model height if the stadium were 300 feet tall?
3. How many inches would represent 1 foot in this scale model?
4. If 2 inches represent 40 feet, how would this change the height of the model?
5. How would you convert the height of a model from inches to feet if needed?

**Tip:** Always set up proportions to solve scale model problems efficiently.

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.

Find out how to calculate the height of a scale model based on a given scale ratio. This problem involves using proportions to find the model height when the real stadium is 180 feet tall, and the scale is 2 inches for every 30 feet. Perfect for students in Grades 6-8.

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