Question

Calculate magnification of a drawing

Answer 1

To calculate the magnification of a drawing, you can use the following formula:

\[
\text{Magnification} = \frac{\text{Size of image on paper}}{\text{Actual size of object}}
\]

Where:
- "Size of image on paper" is the measurement of the drawing or representation.
- "Actual size of object" is the true measurement of what you are drawing.

### Steps to Calculate Magnification:

1. **Measure the size of the drawing/image**: This could be a height, width, or any relevant dimension of the drawing.

2. **Determine the actual size of the object**: This involves knowing the true size of the object or scene you are representing.

3. **Apply the formula**: Substitute the values into the formula above to find the magnification.

### Example Calculation:

- Suppose you have a drawing of a tree that is 10 cm tall (size of image on paper), and the actual tree height is 2 meters (200 cm).

Using the formula:

\[
\text{Magnification} = \frac{10 \, \text{cm}}{200 \, \text{cm}} = \frac{1}{20}
\]

This means the drawing is at a scale of 1:20, or it is 1/20th the size of the actual object.

### Note:
- If the drawing is larger than the actual object, the magnification will be greater than 1.
- If the drawing is smaller than the actual object, the magnification will be less than 1.

Feel free to provide specific measurements if you'd like assistance with a particular example!