To find the scale of the drawing in relation to the actual building height and length, we can set up a ratio based on the measurements given.
Actual building dimensions:
- Height = 120 cm
- Length = 90 cm
Scale drawing dimensions:
- Height in scale = 15 cm
The scale is determined by comparing the real dimensions to the scale dimensions.
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Finding the scale ratio for height:
\[ \text{Scale ratio for height} = \frac{\text{Scale height}}{\text{Actual height}} = \frac{15 \text{ cm}}{120 \text{ cm}} = \frac{1}{8} \]
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Finding the scale ratio for length:
We will calculate the scale length in the drawing by using the same ratio:
Using the same scale ratio of \( \frac{1}{8} \), we can find the scale length:
\[ \text{Scale length} = \text{Actual length} \times \text{Scale ratio} = 90 \text{ cm} \times \frac{1}{8} = 11.25 \text{ cm} \]
So, for your scale drawing:
- The height is 15 cm,
- The length would be 11.25 cm.
Thus, the final scale ratio for your drawing can be expressed as 1:8.