Question

the table below gives the dimensions of a sculpture and a scale model of the sculpture. find the scale factor of the model. (the scale factor to get the model from the sculpture.) write your answer as a fraction in simplest form. scale factor:

Explanation:

Step1: Recall the formula for scale factor

Scale factor \(=\frac{\text{Dimension of model}}{\text{Dimension of sculpture}}\)

Step2: Calculate using length

Using length: \(\frac{8}{48}=\frac{8\div8}{48\div8}=\frac{1}{6}\)

Step3: Verify using width

Using width: \(\frac{5}{30}=\frac{5\div5}{30\div5}=\frac{1}{6}\)

Step4: Verify using height

Using height: \(\frac{9}{54}=\frac{9\div9}{54\div9}=\frac{1}{6}\)

Answer:

\(\frac{1}{6}\)