Question

A lawnmower designer wants to build a lawnmower that measures 3 feet in height, 2 feet in width, and 5 feet in length. She needs to construct a three-dimensional scale model of the lawnmower first. Which measurements are appropriate for the scale model?

Answer 1

Answer: C. 6 inches high, 4 inches wide, and 10 inches long

Explanation:

A scale model will have to use a scale factor that ensures that the actual measurements can be accurately converted to the scale model measurements in an equivalent manner.

This means that the real measurements need to be uniform when converted by the scale factor to the scale model. In other words, in this scenario for instance, when the scale measurements are divided by the real measurements, they should give the same scale factor.

Option C is correct because all the measurements give the same scale factor when divided as opposed to the rest.

Height = Scale/ Real = 6/3 = 2

Width = 4/2 = 2

Length = 10/5 = 2

They all use the scale factor of 1 feet: 2 inches so option C is correct.