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, we can set up a proportion based on the given scale:

- The scale is 2 inches for every 30 feet.
- The actual height of the stadium is 180 feet, and we need to find the height of the scale model in inches.

We can set up the proportion as follows:

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

Now, solve for \( x \):

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

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

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

Do you want further details or have any questions?

Here are 5 related questions:
1. How would the scale change if 3 inches represented 40 feet?
2. If the width of the stadium is 300 feet, what would be the width in the model?
3. How would you calculate the total volume of the stadium and its scale model?
4. How could you convert this scale into meters?
5. What would happen to the model's height if the scale changed to 1 inch for 20 feet?

**Tip:** Setting up proportions is a powerful way to solve problems involving scale models or maps!

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 solve a proportion problem involving scale models, where 2 inches represent 30 feet. The solution shows step-by-step how to calculate the height of the scale model for a stadium that's 180 feet tall. Ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation