Math Problem Statement
A classroom measures 12 meters long and 9 meters wide. When using a scale of 1 centimeters to 1.5 meters to draw the room on your paper, the size would be
Solution
To calculate the size of the classroom on paper using the given scale of 1 cm = 1.5 meters, follow these steps:
Step 1: Convert the actual dimensions to the scaled dimensions
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Length of the room (12 meters):
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Width of the room (9 meters):
Step 2: State the dimensions on paper
The classroom would measure 8 cm by 6 cm on paper.
Final Answer:
The size of the classroom on paper is 8 cm × 6 cm.
Would you like a detailed explanation of the scale conversion process? 😊
Here are 5 related questions to expand your understanding:
- How do you calculate the area of the classroom on paper versus in real life?
- If the scale changed to 1 cm = 2 meters, what would the new dimensions be?
- How do scales work in map drawing or architectural designs?
- How would the size change if the classroom were measured in feet instead of meters?
- What would be the diagonal length of the scaled classroom drawing?
Tip: Always check the scale factor carefully when converting measurements to ensure accuracy in scaled drawings!
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Math Problem Analysis
Mathematical Concepts
Scale Conversion
Ratio and Proportion
Measurement
Formulas
Scaled Dimension = Actual Dimension / Scale Factor
Theorems
Basic principles of scaling in geometry
Suitable Grade Level
Grades 6-8