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 solve this problem, we can use a proportion based on the given scale:

- **2 inches** in the model represents **30 feet** in real life.
- The height of the actual stadium is **180 feet**.

We can set up a proportion to find the height of the model, denoted by \( x \) (in inches):

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

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**, so the correct answer is:

**B. 12 in.**

Would you like further details on proportions or scaling? Here are some related questions:

1. What is the length of a real object if it is 8 inches in the model using the same scale?
2. How would the scale model's height change if the scale were 1 inch = 15 feet?
3. How do you calculate the scale factor between two different scales?
4. What is the model height if the actual stadium height is doubled?
5. How can this concept be applied to creating blueprints or maps?

**Tip:** When dealing with scales, always make sure units are consistent before setting up proportions.

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.

Solve the problem of determining the height of a scale model of a stadium. Given a scale where 2 inches represents 30 feet and the actual stadium height is 180 feet, learn how to use proportions to find the model's height. Perfect for middle school students learning about ratios and scaling.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation