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)	36	8
width (inches)	27	6
height (inches)	45	10

scale factor:

Explanation:

Step1: Set up scale factor ratio

Scale factor = $\frac{\text{Model dimension}}{\text{Sculpture dimension}}$
Use length values: $\frac{8}{36}$

Step2: Simplify the fraction

Divide numerator/denominator by 4: $\frac{8\div4}{36\div4} = \frac{2}{9}$

Step3: Verify with width

Check width ratio: $\frac{6}{27} = \frac{6\div3}{27\div3} = \frac{2}{9}$

Step4: Verify with height

Check height ratio: $\frac{10}{45} = \frac{10\div5}{45\div5} = \frac{2}{9}$

Answer:

$\frac{2}{9}$