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. sculpture model length (inches) 48 8 width (inches) 36 6 height (inches) 54 9 scale factor:

Explanation:

Step1: Choose corresponding dimensions

Take length: Sculpture length = 48, Model length = 8

Step2: Calculate scale factor

Scale factor = $\frac{\text{Model dimension}}{\text{Sculpture dimension}} = \frac{8}{48}$

Step3: Simplify the fraction

Divide numerator and denominator by GCD 8: $\frac{8\div8}{48\div8} = \frac{1}{6}$
(Verify with width/height: $\frac{6}{36}=\frac{1}{6}$, $\frac{9}{54}=\frac{1}{6}$)

Answer:

$\frac{1}{6}$