https://file.aiquickdraw.com/mathbot/file/1730658193377zl9eoml4.jpg

To find the surface area of the given rectangular prism, we need to calculate the area of all six faces and sum them up.

### Given Dimensions:
- Length (l) = 12 m
- Width (w) = 11 m
- Height (h) = 3 m

### Surface Area of a Rectangular Prism
The surface area \( A \) of a rectangular prism can be found using the formula:
\[
A = 2lw + 2lh + 2wh
\]

### Step-by-Step Calculation
1. **Calculate \( lw \)**: 
   \[
   lw = 12 \times 11 = 132 \text{ m}^2
   \]

2. **Calculate \( lh \)**:
   \[
   lh = 12 \times 3 = 36 \text{ m}^2
   \]

3. **Calculate \( wh \)**:
   \[
   wh = 11 \times 3 = 33 \text{ m}^2
   \]

4. **Plug values into the surface area formula**:
   \[
   A = 2(132) + 2(36) + 2(33)
   \]
   \[
   = 264 + 72 + 66
   \]
   \[
   = 402 \text{ m}^2
   \]

### Final Answer
The surface area of the prism is:
\[
\boxed{402 \text{ m}^2}
\]

Would you like a more detailed explanation, or do you have any questions?

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Here are five related questions that expand on this topic:
1. How would the surface area change if the height were doubled?
2. Can we calculate the volume of this prism? How?
3. What if only three faces were painted; what would be the painted area?
4. How does the surface area formula change for a cube?
5. What other 3D shapes have a similar approach to finding surface area?

**Tip:** For surface area calculations, always verify each dimension and check for any repeated or unique face dimensions in complex shapes.

Find the surface area of the figure. The figure is a rectangular prism with dimensions: length = 12 m, width = 11 m, and height = 3 m.

Learn how to find the surface area of a rectangular prism with dimensions length = 12 m, width = 11 m, and height = 3 m. This problem covers key concepts in geometry, including surface area calculation, and provides a step-by-step solution.

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