Question

Which scale would produce the smallest drawing? Explain your reasoning.

1: 100

1 millimeter: 1 meter

1 inch: 10 feet

Answer 1

1 millimeter: 1 meter

Explanation:

we have

Part a) scale 1: 100

That means----> 1 unit on the drawing represent 100 units in the actual

Example

100 units in the actual ----> represent 100/100=1 unit on the drawing

Part b) scale 1 millimeter: 1 meter

Remember that

`1\ m=1,000\ mm`

so

substitute

The scale is 1 millimeter: 1,000 millimeter or 1 : 1,000

That means----> 1 unit on the drawing represent 1,000 units in the actual

Example

100 units in the actual -----> represent 100/1,000=0.10 units on the drawing

Part c) scale 1 inch: 10 feet

Remember that

`1\ ft=12\ in`

so

substitute

The scale is 1 inch: 120 inches or 1 : 120

That means----> 1 unit on the drawing represent 120 units in the actual

Example

100 units in the actual -----> represent 100/120=0.83 units on the drawing

therefore

The scale 1 millimeter: 1 meter would produce the smallest drawing