Representative Factor and Fraction Quiz: Learn Drawing Scales

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Questions and Answers

What is the representative fraction for an enlarging scale?

1:0.2

Which scale is considered a reducing scale?

1:3

Identify the scale that is not an enlarging scale.

3:5

What is the representative fraction for a full size scale?

1:1 Signup and view all the answers

Define an enlarging scale in terms of drawing dimensions compared to the actual object.

An enlarging scale means the drawing dimensions are larger than the actual object dimensions. Signup and view all the answers

Explain the concept of a reducing scale in relation to drawing length.

A reducing scale implies that the drawing length is smaller than the actual length of the object. Signup and view all the answers

What is an engineer's scale?

An engineer's scale is the representation of the scale used in drawing on the drawing sheet numerically. Signup and view all the answers

Why are graphical scales used in survey maps?

Graphical scales are used in survey maps because they do not shrink with the drawing, unlike engineer's scales. Signup and view all the answers

What is the formula for calculating the length of the scale?

The length of the scale is calculated using the formula: Length of the scale = R.F. x Maximum length to be measured. Signup and view all the answers

Why must units of measurement be shown in the scale drawn?

Units of measurement must be shown in the scale drawn to avoid any misunderstanding about the different units used. Signup and view all the answers

How does an engineer's scale differ from a graphical scale?

An engineer's scale is represented numerically on the drawing sheet, while a graphical scale is drawn on the drawing itself. Signup and view all the answers

Why is it important to use a graphical scale when enlarging a drawing?

It is important to use a graphical scale when enlarging a drawing to ensure that the scale also enlarges proportionally. Signup and view all the answers

What is the length of the first drawing if the second drawing has a length of 10 mm and the ratio of the 1st drawing's Representative Factor to the 2nd drawing's Representative Factor is 2?

20 mm Signup and view all the answers

If the length of a drawing is 20 cm and the scale is given as 2:1, what is the actual length?

10 cm Signup and view all the answers

If the actual length is 1 cm and the length of the drawing is 30 cm, what is the representative factor?

30 Signup and view all the answers

Calculate the length of the drawing given a representative factor of 4 and an actual length of 20 mm.

80 mm Signup and view all the answers

What is the length of the first drawing if the length of the second drawing is 10 mm and the ratio of their representative factors is 2?

20 mm Signup and view all the answers

If the length of a drawing is 20 cm and the scale is given as 2:1, what is the actual length in millimeters?

100 mm Signup and view all the answers

Study Notes

Scales in Drawing

A representative fraction for an enlarging scale is greater than 1.
A reducing scale is considered when the representative fraction is less than 1.
A scale that is not an enlarging scale is a full-size scale or a reducing scale.
The representative fraction for a full-size scale is 1:1.

Enlarging Scale

An enlarging scale is defined as a scale where the drawing dimensions are larger than the actual object.
The representative fraction is greater than 1, indicating the drawing is larger than the actual object.

Reducing Scale

A reducing scale is a scale where the drawing length is smaller than the actual length.
The representative fraction is less than 1, indicating the drawing is smaller than the actual object.

Engineer's Scale

An engineer's scale is a scale that is used in engineering and architectural drawings to represent proportional relationships between dimensions.

Graphical Scale

A graphical scale is used in survey maps to represent distances and proportions.
Graphical scales are used to show the relationship between the drawing and the actual object.

Calculating Scale Length

The formula for calculating the length of the scale is: Drawing Length = Actual Length x Representative Factor.
Units of measurement must be shown in the scale drawn to ensure accuracy.

Engineer's Scale vs. Graphical Scale

An engineer's scale differs from a graphical scale in its application and usage.
Engineer's scales are used in engineering and architectural drawings, while graphical scales are used in survey maps.

Importance of Graphical Scale

It is important to use a graphical scale when enlarging a drawing to maintain accuracy and proportion.

Example Problems

If the length of the second drawing is 10 mm and the ratio of the first drawing's Representative Factor to the second drawing's Representative Factor is 2, the length of the first drawing is 20 mm.
If the length of a drawing is 20 cm and the scale is 2:1, the actual length is 40 cm or 400 mm.
If the actual length is 1 cm and the length of the drawing is 30 cm, the representative factor is 30:1.
If the representative factor is 4 and the actual length is 20 mm, the length of the drawing is 80 mm.
If the length of the second drawing is 10 mm and the ratio of their representative factors is 2, the length of the first drawing is 20 mm.

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Description

Test your knowledge on representative fractions and drawing scales. Identify different types of scales such as full size scale and enlarging scale based on the given representative fractions.