Math Problem Statement

The scale on a drawing is 1 cm = 6 m. How many meters does a length of 5.5 centimeters on the drawing represent?

33 m 11.5 m 0.92 m 3.3 m

Solution

The scale on the drawing is 1 cm = 6 m. This means for every 1 cm on the drawing, it represents 6 meters in real life.

To find how many meters 5.5 centimeters on the drawing represents, you can multiply the length on the drawing by the scale factor:

5.5cm×6m/cm=33m5.5 \, \text{cm} \times 6 \, \text{m/cm} = 33 \, \text{m}

So, the correct answer is 33 meters.

Would you like more details on how to approach this kind of problem? Here are some follow-up questions:

  1. How do you convert between different units on a scale drawing?
  2. What is the importance of understanding scale when working with architectural drawings?
  3. If the scale were different, such as 1 cm = 10 m, how would that change the result?
  4. How can you apply this kind of calculation in real-world scenarios like construction or engineering?
  5. What are some other examples of using scale in design or art?

Tip: When working with scales, always make sure the units match so you can apply the scale factor correctly!

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Math Problem Analysis

Mathematical Concepts

Scale
Proportions
Unit Conversion

Formulas

Length on drawing × Scale factor = Actual length

Theorems

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Suitable Grade Level

Grades 6-8