Math Problem Statement
The table below gives the dimensions of a statue and a scale drawing of the statue. Find the scale factor of the drawing. (The scale factor to get the drawing from the statue.) Write your answer as a fraction in simplest form.
Solution
To find the scale factor of the drawing relative to the statue, we divide the dimensions of the drawing by the corresponding dimensions of the statue. Let's compute:
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Height:
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Length:
Since both height and length have the same ratio, the scale factor is:
Thus, the correct answer is:
Do you have any questions or need further clarification?
Here are 5 related questions for deeper understanding:
- What does it mean if two objects have a scale factor of 1?
- How do you convert a scale factor from a fraction to a percentage?
- How would the dimensions change if the scale factor were ?
- Can a scale factor be greater than 1? What would that represent?
- How can we check if a scale drawing maintains the same proportions as the original?
Tip: Always reduce fractions to their simplest form when calculating scale factors to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Ratios
Proportions
Scale Factor
Formulas
Scale factor = Drawing dimension / Statue dimension
Theorems
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Suitable Grade Level
Grades 5-7