Chapter 6.6, Problem 44E

To determine

To calculate: A scale for a scale model.

Answer to Problem 44E

A scale for the scale model = $20:1$

Explanation of Solution

Given information:

The dimensions of the scale model are $20$ times the dimension of the actual object.

Calculation:

To find scale of scale model, write a ratio using corresponding dimensions of the scale model and actual object. Assume dimensions of actual object to be $x\text{ units}$ .The dimensions of the scale model are $20$ times the dimension of the actual object. Therefore, dimensions of the scale will be $20x$ .

A ratio of the dimensions can be written as:

  $\begin{array}{l}\frac{\text{Dimension of scale model}}{\text{Dimension of actual object}}\text{ [Write ratio]}\\ =\frac{20x}{x}\text{ [Substitute]}\\ =\frac{20}{1}\text{ [Divide out common factors]}\\ =20:1\text{ [Express as a ratio]}\end{array}$