Question

a is a three - dimensional representation of a person or thing, typically on a smaller scale than the original.
the scale factor is determined by dividing one of the models by the actual objects corresponding dimension.
a scale of 1:100 indicates that one unit on the model or drawing equates to units on the actual object.
a model car is built at a scale of 1:18. if the actual car is 360 cm long, the model car would be cm long.

Explanation:

Step1: Understand the concept of model

A model is a three - dimensional representation of a person or thing, typically on a smaller scale than the original.

Step2: Recall the formula for scale factor

The scale factor is determined by dividing one of the model's dimensions by the actual object's corresponding dimension.

Step3: Analyze the scale ratio meaning

For a scale of \(1:100\), it means one unit on the model or drawing equates to \(100\) units on the actual object.

Step4: Calculate the length of the model car

Given a scale of \(1:18\) and the actual car length \(L = 360\) cm. Let the model car length be \(x\). Using the proportion \(\frac{x}{360}=\frac{1}{18}\). Cross - multiply gives \(18x=360\). Then \(x = \frac{360}{18}=20\) cm.

Answer:

1. model
2. dimensions
3. \(100\)
4. \(20\)