Math Problem Statement

The blueprint for the new SA middle school uses 1 inch to represent 6 meters. If approximately 3 meters make up

10 feet, how many feet does 1 inch represent in the blueprint?

Solution

To solve the problem, we need to determine how many feet are represented by 1 inch on the blueprint, given that 1 inch represents 6 meters and approximately 3 meters make up 10 feet.

Step 1: Convert 6 meters to feet

If 3 meters are approximately 10 feet, then 6 meters would be:

6 meters×10 feet3 meters=20 feet6 \text{ meters} \times \frac{10 \text{ feet}}{3 \text{ meters}} = 20 \text{ feet}

Step 2: Conclusion

Thus, 1 inch on the blueprint represents 20 feet.

Would you like any further details or have any questions?


Here are some related questions to explore:

  1. If the blueprint used 1 inch to represent 5 meters, how many feet would that be?
  2. How many inches on the blueprint would represent 50 meters?
  3. If a room in the school measures 15 meters by 20 meters, what would its dimensions be in inches on the blueprint?
  4. How many meters does 2.5 inches represent on the blueprint?
  5. How would the scale change if 1 inch represented 8 meters instead of 6?

Tip: Always double-check unit conversions, especially when working between different measurement systems like metric and imperial.

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Proportions
Scale Drawing

Formulas

Conversion from meters to feet: meters × (10 feet / 3 meters)

Theorems

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Suitable Grade Level

Grades 5-7