https://file.aiquickdraw.com/mathbot/file/1727727786040rhle80gw.jpg

To find the surface area of the cuboid in the image, we can use the formula for the surface area of a cuboid, which is:

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

Where:
- \( l \) is the length,
- \( w \) is the width,
- \( h \) is the height.

From the image:
- \( l = 12 \, \text{m} \),
- \( w = 6 \, \text{m} \),
- \( h = 3 \, \text{m} \).

Substituting these values into the formula:

\[
\text{Surface Area} = 2 \times (12 \times 6 + 12 \times 3 + 6 \times 3)
\]
\[
\text{Surface Area} = 2 \times (72 + 36 + 18)
\]
\[
\text{Surface Area} = 2 \times 126 = 252 \, \text{m}^2
\]

Thus, the surface area of the cuboid is **252 square meters**.

Do you want further details or have any questions?

Here are 5 related questions to explore:
1. How would the surface area change if the height doubled while other dimensions remained constant?
2. Can you calculate the volume of this cuboid?
3. How would you calculate the surface area of a cylinder instead of a cuboid?
4. How does the surface area formula for a cube differ from a cuboid?
5. What is the significance of surface area in real-world applications such as packaging?

**Tip:** When working with surface area, make sure all dimensions use the same units before calculating to avoid errors.

What is the surface area of the cuboid below?

Calculate the surface area of a cuboid with dimensions length 12m, width 6m, and height 3m. This geometry problem uses the formula for surface area and is suitable for students in Grades 6-8. Step-by-step calculations provided.

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