To find the surface area of the rectangular prism shown in the image, we use the formula for the surface area of a rectangular prism:

$\text{Surface Area} = 2lw + 2lh + 2wh$ where:

• $l$ is the length,
• $w$ is the width,
• $h$ is the height.

From the image, the dimensions are:

• $l = 13 \, \text{m}$,
• $w = 7 \, \text{m}$,
• $h = 3 \, \text{m}$.

Now, let's calculate each term: $2lw = 2(13)(7) = 182 \, \text{m}^2$ $2lh = 2(13)(3) = 78 \, \text{m}^2$ $2wh = 2(7)(3) = 42 \, \text{m}^2$

Adding them together: $\text{Surface Area} = 182 + 78 + 42 = 302 \, \text{m}^2$

Thus, the surface area of the rectangular prism is 302 square meters.

Would you like a detailed explanation or have any questions?

Here are 5 related questions you might find interesting:

1. How do you calculate the volume of this rectangular prism?
2. What would the surface area be if the height were doubled?
3. If the width was decreased by 2 meters, how would the surface area change?
4. How does the surface area formula change for a cube?
5. How would you calculate the diagonal of the rectangular prism?

Tip: When calculating the surface area of 3D shapes, always ensure you are considering all six faces (or surfaces) properly.