https://file.aiquickdraw.com/mathbot/file/1729277535709q034mlhg.jpg

What is the surface area of the rectangular prism pictured below?

To calculate the surface area of the rectangular prism in the given image, we use the **surface area formula** for a rectangular prism:

\[
\text{Surface Area} = 2(lw + lh + wh)
\]

Where:
- \(l = 9\) meters (length),
- \(w = 4\) meters (width),
- \(h = 3\) meters (height).

### Step-by-Step Calculation:
1. **Find the area of each pair of opposite faces:**
   - Two \(l \times w\) faces: \(9 \times 4 = 36\) square meters.
   - Two \(l \times h\) faces: \(9 \times 3 = 27\) square meters.
   - Two \(w \times h\) faces: \(4 \times 3 = 12\) square meters.

2. **Sum of the areas of all six faces:**
   \[
   2(36 + 27 + 12)
   \]

3. **Simplify:**
   \[
   36 + 27 + 12 = 75
   \]
   \[
   2 \times 75 = 150 \, \text{square meters}.
   \]

### Final Answer:
The surface area of the rectangular prism is:

\[
\boxed{150 \, \text{square meters}}.
\]

Do you want any further details or have questions?

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Here are 5 related questions:
1. What is the volume of the rectangular prism with these dimensions?
2. How would the surface area change if the height were doubled?
3. How does the surface area formula change for a cube?
4. What is the lateral surface area of this rectangular prism?
5. How does surface area affect the material needed to cover a 3D object?

**Tip:** Surface area grows faster than volume as dimensions increase, which is important for things like packaging and construction!

Learn how to calculate the surface area of a rectangular prism with dimensions 9m x 4m x 3m. This problem covers key geometric concepts, using the formula 2(lw + lh + wh) to find the surface area. Suitable for students in Grades 6-8.

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