A building has a height of 125 meters and a length of 80 meters. On a scale drawing of the building, the height is 25 cm.

What is the length of the building on the scale drawing?


To find the length of the building on the scale drawing, we need to determine the scale factor used in the drawing.

We know the real height of the building is 125 meters, and the height on the scale drawing is 25 cm. First, let's convert 25 cm to meters for consistency:
\[
25 \text{ cm} = 0.25 \text{ meters}
\]

Now, we can calculate the scale factor:
\[
\text{Scale factor} = \frac{\text{Height on scale drawing}}{\text{Real height}} = \frac{0.25}{125} = \frac{1}{500}
\]

The scale factor is \( \frac{1}{500} \), meaning 1 meter in real life corresponds to 0.002 meters (or 0.2 cm) on the scale drawing.

Now, let's apply this scale factor to the length of the building:
\[
\text{Length on scale drawing} = \text{Real length} \times \text{Scale factor} = 80 \times \frac{1}{500} = 0.16 \text{ meters} = 16 \text{ cm}
\]

Thus, the length of the building on the scale drawing is 16 cm.

Would you like further details or have any questions?

Here are 5 related questions to explore:
1. What would the scale be if the height on the drawing was 50 cm instead of 25 cm?
2. How do you calculate the area of the building in real life and on the scale drawing?
3. If the scale drawing was enlarged by a factor of 2, what would the new height and length be?
4. How would you convert the scale factor into a ratio (e.g., 1:500)?
5. What is the process for determining the volume of the building, assuming it has a rectangular shape?

**Tip:** When working with scale drawings, always ensure units are consistent before performing any calculations!

A building has a height of 125 meters and a length of 80 meters. On a scale drawing of the building, the height is 25 cm. What is the length of the building on the scale drawing?

Learn how to calculate the length of a building on a scale drawing when given the real dimensions of the building and the scale factor. In this example, a 125-meter tall and 80-meter long building is represented on a drawing with a height of 25 cm. Suitable for students in Grades 6-8.

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