A model airplane has a wingspan of 15 cm and a body length of 8 cm . The scale is 1 to 500 . What is the wingspan of the actual airplane?

Question

UpStudy AI · Accepted Answer

**Step 1: Write down the given model dimensions and the scale.**

- Model wingspan: $$15 \, \text{cm}$$
- Scale: $$1 : 500$$

**Step 2: Set up the conversion.**

Since the scale is $$1:500$$, this means that every $$1 \, \text{cm}$$ on the model represents $$500 \, \text{cm}$$ on the actual airplane.

**Step 3: Calculate the actual wingspan.**

$$
\text{Actual wingspan} = 15 \, \text{cm} \times 500 = 7500 \, \text{cm}
$$

**Step 4: Convert centimeters to meters.**

We know that $$100 \, \text{cm} = 1 \, \text{m}$$, so:

$$
7500 \, \text{cm} = \frac{7500}{100} \, \text{m} = 75 \, \text{m}
$$

**Final Answer:**

The actual airplane's wingspan is $$75 \, \text{meters}$$.
The actual airplane's wingspan is 75 meters.

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