Math Problem Statement
Moldes an architect built a model of a 220-foot tall building he is designing the molded is 25 inches tall and 10 inches wide how wide is the actually building
Solution
To solve this, we need to use the proportional relationship between the model's height and width and the actual building's height and width.
The model is 25 inches tall and represents a 220-foot tall building. Let's set up the proportion:
Substitute the given values into the proportion:
Now, solve for the actual width:
So, the actual building's width is 88 feet.
Would you like further details or have any questions?
Here are 5 related questions:
- How would you calculate the actual building's length if the model's length is known?
- How do different unit conversions affect scale modeling calculations?
- If the model's height was increased by 10%, what would the new actual building height be?
- How can you find the area of the actual building's base from its width and length?
- How is a scale factor determined in architectural models?
Tip: Always ensure unit consistency when calculating proportions, converting all measurements to the same unit type.
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Math Problem Analysis
Mathematical Concepts
Proportions
Unit Conversion
Scale Models
Formulas
Model's height / Actual height = Model's width / Actual width
Cross-multiplication to solve for width
Theorems
Proportionality Theorem
Suitable Grade Level
Grades 6-8
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