Math Problem Statement
44
Solution
Let's solve question 44:
The problem involves scaling up the size of a feature from a model to a statue.
Given:
- Model height = 18 inches
- Feature on model = 3 inches
- Statue height = 22 feet
Convert 22 feet to inches:
We assume the statue and model are proportional, so the scaling factor is:
Scale up the feature:
The size of the feature on the statue is:
Convert this back to feet:
Final Answer:
The feature on the statue will be approximately 3.67 feet.
Correct option: B.
Do you want me to clarify any step further or explain another question?
Related Questions:
- How do you convert feet to inches and vice versa?
- How would the scaling factor change if the statue were 30 feet tall?
- If another feature on the model was 5 inches, what would its size be on the statue?
- What is the importance of proportional scaling in art and design?
- How would the problem change if the model was measured in centimeters?
Tip:
Always double-check unit conversions, especially when dealing with feet, inches, or metric measurements!
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Math Problem Analysis
Mathematical Concepts
Proportionality
Scaling Factors
Unit Conversion
Formulas
Scaling Factor = Statue Height / Model Height
Feature Size on Statue = Feature Size on Model × Scaling Factor
Feet to Inches Conversion: 1 foot = 12 inches
Theorems
Proportional Scaling Theorem
Suitable Grade Level
Grade 6-8
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