Question

suppose someone builds an architectural model of a new concert hall using a scale factor of 40. how will the height of the actual concert hall compare to the height of the scale model? the height of the actual building will be times as great as the height of the model. (simplify your answer.)

Explanation:

Step1: Understand the scale factor concept

The scale factor is the ratio of the actual size to the model size. If the scale factor is \(k\), then \( \text{Actual size}=k\times\text{Model size}\). Here \(k = 40\).

Answer:

The height of the actual building will be \(40\) times as great as the height of the model.