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A model of a building is built using a scale of 1 inch = 25 feet. What is the actual height of the building if the height of the model is 12.375 inches?

User Kabochkov
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1 Answer

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Answer:

The actual height of the building is 309.375 feet

Explanation:

A scale is the mathematical relationship that exists between reality and the model that is made of it. That is, scale is the mathematical relationship between the dimensions of the representation of an object (a model, a plan, a map, etc.), and the actual size of the represented object.

The scale is written in the form of a ratio where the antecedent indicates the value of the plane and the consequent indicates the value of reality. In other words, the scale is indicated by the numerical relationship between a distance from the representation, and the corresponding real distance.

Taking into account what was previously expressed, the following rule of three can be applied: if a 1-inch scale: 25 feet indicates that a distance of 1 inch in the model represents a distance of 25 feet in the real object, with 12.375 inches being the height of the model what will be the height of the real object?


actual height of the building=(12.375 inches*25 feet)/(1 inch)

actual height of the building=309.375 feet

The actual height of the building is 309.375 feet

User Xni
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