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In Mathematics / Middle School | 2014-11-10

The scale model of a skyscraper being built is 4.2 feet tall.

a. When it is finished, the skyscraper will be 525 meters tall. What scale was used to make the model?

Asked by nereyda6565

Answer (3)

** The scale that was used to make the model is:**
** 1.28:525**
** in meters** ; For this case we must take into account the following transformation of units:
1 meter = 3.28 feet
Applying the transformation of units we have:
( 4.2 f ee t ) ( 3.28 1 ​ f ee t m ​ ) = 1.28 m
Thus, the scale used for the model is given by:
1.28:525

Answered by carlosego | 2024-06-11

The scale that was used in the model can be calculated by first converting the height of the model from feet to meter in order to have consistency in the units.
height of model = (4.2 ft)(1 m/3.28 ft) = 1.28 m
Since it is said that this corresponds to 525 m actual height of the skyscraper, the scale used was:
1.28 m: 525 m
or simply,
32:13125

Answered by Kalahira | 2024-06-11

The scale of the model skyscraper is approximately 1:409, meaning that 1 foot on the model represents 409 feet in reality. To find this scale, the height of the skyscraper was converted from meters to feet and then compared to the height of the model. This gives a clear understanding of how the model represents the actual building's size.
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Answered by carlosego | 2024-10-08