Question

The actual length of the pickup truck showing the scale drawing is 18 ft.
Scale: length 6 in

What is the scale from the drawing to the pickup truck?

Scale = 1 in. : 6 ft

Answer 1

To determine the scale from the drawing to the actual pickup truck, we can break it down using the information provided.

1. **Actual Length of the Truck**: 18 ft
2. **Length in the Scale Drawing**: 6 in

We'll convert the actual length into inches since our scale drawing length is in inches (1 foot = 12 inches):

\[
18 \, \text{ft} = 18 \times 12 \, \text{in} = 216 \, \text{in}
\]

Now we can find the scale ratio by comparing the length in the drawing to the actual length.

To find the scale factor:

\[
\text{Scale Factor} = \frac{\text{Actual Length}}{\text{Drawing Length}} = \frac{216 \, \text{in}}{6 \, \text{in}} = 36
\]

Now, we can express this scale factor. The scale could be represented as:

\[
\text{Scale} = 1 \, \text{in} : 36 \, \text{in}
\]

Since 36 inches is equivalent to 3 feet (because 36 in ÷ 12 in/ft = 3 ft), the scale can also be expressed in feet:

\[
\text{Scale} = 1 \, \text{in} : 3 \, \text{ft}
\]

So the final scale from the drawing to the pickup truck is:

\[
\text{Scale} = 1 \, \text{in} : 3 \, \text{ft}
\]