Question
12 Fill in the Blank 1 point
A student creates a scale model of a capitol building with a scale of 5 centimeters
meters. If the actual height of the building is 228 meters, what is the height of
the scale model?
If the the actual height of the building is 228 meters, the height of the scale model is type your answer…
A student creates a scale model of a capitol building with a scale of 5 centimeters
the scale model?
If the the actual height of the building is 228 meters, the height of the scale model is type your answer…
Ask by Marshall Barrett. in the United States
Nov 05,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The height of the scale model is approximately 60 centimeters.
Solution
To find the height of the scale model, we can use the given scale of 5 centimeters = 19 meters.
First, we need to set up a proportion based on the scale:
Where
is the height of the scale model in centimeters.
Now, we can cross-multiply to solve for
:
Calculating the left side:
So we have:
Now, divide both sides by 19 to solve for
:
Thus, the height of the scale model is approximately 60 centimeters.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
To find the height of the scale model, first, we need to establish the relationship between the actual height and the model’s height using the given scale. According to the scale of 5 centimeters = 19 meters, we can set up a proportion.
First, convert the actual height of 228 meters to the scale model height:
By cross-multiplying and solving for
, we get:
So, the height of the scale model is approximately 60 centimeters.