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

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:

\[
\frac{\text{Model's height}}{\text{Actual height}} = \frac{\text{Model's width}}{\text{Actual width}}
\]

Substitute the given values into the proportion:

\[
\frac{25 \, \text{inches}}{220 \, \text{feet}} = \frac{10 \, \text{inches}}{\text{Actual width in feet}}
\]

Now, solve for the actual width:

\[
\text{Actual width in feet} = \frac{10 \, \text{inches} \times 220 \, \text{feet}}{25 \, \text{inches}} = \frac{2200 \, \text{inch-feet}}{25 \, \text{inches}} = 88 \, \text{feet}
\]

So, the actual building's width is **88 feet**.

Would you like further details or have any questions?

Here are 5 related questions:
1. How would you calculate the actual building's length if the model's length is known?
2. How do different unit conversions affect scale modeling calculations?
3. If the model's height was increased by 10%, what would the new actual building height be?
4. How can you find the area of the actual building's base from its width and length?
5. 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.

Moldes an architect built a model of a 220-foot tall building he is designing. The model is 25 inches tall and 10 inches wide. How wide is the actual building?

Learn how to calculate the actual width of a 220-foot building based on the dimensions of a 25-inch tall, 10-inch wide model. This problem explores key mathematical concepts like proportions and unit conversion, perfect for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation