Question
A scale drawing of a building uses a scale of 1 cm = 0.5 meters. The height of the building in the drawing is 18 cm. What is the actual height?
Answers
GPT-4o mini
To find the actual height of the building, we use the scale given: 1 cm = 0.5 meters.
First, we find the actual height by multiplying the height in the drawing (in cm) by the scale factor (in meters per cm):
\[
\text{Actual height} = \text{Height in drawing} \times \text{Scale factor}
\]
Substituting the values we have:
\[
\text{Actual height} = 18 \, \text{cm} \times 0.5 \, \text{meters/cm}
\]
Now we perform the multiplication:
\[
\text{Actual height} = 18 \times 0.5 = 9 \, \text{meters}
\]
Therefore, the actual height of the building is **9 meters**.
First, we find the actual height by multiplying the height in the drawing (in cm) by the scale factor (in meters per cm):
\[
\text{Actual height} = \text{Height in drawing} \times \text{Scale factor}
\]
Substituting the values we have:
\[
\text{Actual height} = 18 \, \text{cm} \times 0.5 \, \text{meters/cm}
\]
Now we perform the multiplication:
\[
\text{Actual height} = 18 \times 0.5 = 9 \, \text{meters}
\]
Therefore, the actual height of the building is **9 meters**.