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The original greenhouse dimensions are 6 m by 30 m. To create a scale model, the new dimensions need to maintain the same ratio (or proportion) as the original.

1. The ratio of the original greenhouse's length to width is:
   \[
   \frac{30 \, \text{m}}{6 \, \text{m}} = 5:1
   \]

2. Now, let's check each of the given options to see if they maintain the same 5:1 ratio:
   
   - **Option A: 1 m × 15 m**
     \[
     \frac{15 \, \text{m}}{1 \, \text{m}} = 15:1 \quad (\text{Not the same ratio})
     \]

   - **Option B: 2 cm × 10 m**
     Convert 10 m to cm to have the same unit:
     \[
     10 \, \text{m} = 1000 \, \text{cm}
     \]
     Now, check the ratio:
     \[
     \frac{1000 \, \text{cm}}{2 \, \text{cm}} = 500:1 \quad (\text{Not the same ratio})
     \]

   - **Option C: 18 cm × 80 cm**
     \[
     \frac{80 \, \text{cm}}{18 \, \text{cm}} \approx 4.44:1 \quad (\text{Not the same ratio})
     \]

   - **Option D: 1 m × 5 m**
     \[
     \frac{5 \, \text{m}}{1 \, \text{m}} = 5:1 \quad (\text{Same ratio})
     \]

So, the correct answer is **D. 1 m × 5 m**, as it maintains the same 5:1 ratio as the original greenhouse dimensions.

Would you like further details or have any questions? 

Here are 5 related questions to further expand your understanding:

1. How do you calculate the scale factor for a model?
2. Why is maintaining the same ratio important when creating scale models?
3. How can you convert between different units (e.g., meters to centimeters) when solving scale problems?
4. What would the scale model dimensions be if the greenhouse was 12 m × 60 m instead?
5. Can you create a scale model of a complex shape, and how would you preserve its proportions?

**Tip:** Always ensure the units are consistent when calculating ratios for scale models.

A school uses a model to plan a greenhouse that is 6 m × 30 m. Which dimensions can they use to create a scale model?

This problem helps students determine the correct dimensions for a scale model of a greenhouse with original dimensions of 6 m × 30 m. It covers concepts of ratios, scale models, and unit conversion, suitable for Grades 6-8.

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