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We need to calculate the surface area of the building, which includes both the warehouse and the attached office.

### 1. **Surface area of the warehouse:**
The warehouse is a rectangular prism with dimensions 60 m (length) × 30 m (width) × 20 m (height).

The formula for the surface area \( A \) of a rectangular prism is:
\[
A = 2(lw + lh + wh)
\]
Where:
- \( l = 60 \, \text{m} \) (length)
- \( w = 30 \, \text{m} \) (width)
- \( h = 20 \, \text{m} \) (height)

Let's compute the surface area of the warehouse.

### 2. **Surface area of the office:**
The office is also a rectangular prism with dimensions 20 m (length) × 20 m (width) × 10 m (height).

Similarly, the surface area of the office is calculated using the same formula:
\[
A = 2(lw + lh + wh)
\]
Where:
- \( l = 20 \, \text{m} \)
- \( w = 20 \, \text{m} \)
- \( h = 10 \, \text{m} \)

We will calculate this as well.

### 3. **Adjustments due to the attachment:**
Since the office is attached to the warehouse, one wall of the office is shared with the warehouse. This shared wall should not be counted twice when calculating the total surface area.

The dimensions of the shared wall are 20 m × 10 m (the side of the office that is attached to the warehouse). We will subtract the area of this shared wall from the total surface area.

I'll now perform the calculations.The total surface area of the building, including both the warehouse and the attached office, is **8600 square meters**.

Would you like any further details or clarifications on the calculations?

Here are some related questions to consider:
1. How does the calculation change if the office were attached on a different wall?
2. What would the surface area be if the dimensions of the office changed?
3. How would you calculate the volume of the building?
4. How does the shared wall impact energy efficiency in a real-world scenario?
5. What would the surface area be without subtracting the shared wall?

**Tip:** When calculating the surface area of a building with attached sections, always be mindful of any shared walls that should not be double-counted.

A warehouse measures 60 m by 30 m by 20 m. An office attached to one wall of the warehouse measures 20 m by 20 m by 10 m. Determine the surface area of the building.

Learn how to calculate the surface area of a warehouse with dimensions 60 m × 30 m × 20 m, and an attached office with dimensions 20 m × 20 m × 10 m. This geometry problem demonstrates how to adjust for shared walls when calculating total surface area.

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