https://file.aiquickdraw.com/mathbot/file/17277138417789ar0z3ct.jpg

The figure you've provided appears to be a rectangular prism (or cuboid) with dimensions:

- Length (l) = 15 meters
- Width (w) = 6 meters
- Height (h) = 4 meters

To find the surface area of a rectangular prism, you can use the formula:

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

Substituting the values:

\[
\text{Surface Area} = 2(15 \times 6) + 2(15 \times 4) + 2(6 \times 4)
\]
\[
= 2(90) + 2(60) + 2(24)
\]
\[
= 180 + 120 + 48
\]
\[
= 348 \, \text{square meters}
\]

So, the surface area of the rectangular prism is **348 square meters**.

Would you like further details or have any questions?

Here are 5 related questions to extend your understanding:
1. How would the surface area change if the height was doubled?
2. What is the volume of this rectangular prism?
3. How does surface area differ between a cube and a rectangular prism?
4. What is the surface area of a cylinder with the same height and diameter as the base of this prism?
5. How can surface area calculations be applied in real-world scenarios like construction?

**Tip**: When calculating surface area, always ensure you account for all sides of the 3D shape to avoid missing any surface!

Find the surface area of the figure below.

Learn how to calculate the surface area of a rectangular prism with dimensions 6 meters by 4 meters by 15 meters. This geometry problem covers surface area calculations, using the formula 2lw + 2lh + 2wh. Suitable for students in Grades 7-9.

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