https://file.aiquickdraw.com/mathbot/file/1728587045296wm0u05pt.jpg

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

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

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

From the image:
- Length \( l = 4 \, \text{yd} \),
- Width \( w = 3 \, \text{yd} \),
- Height \( h = 2 \, \text{yd} \).

Now, applying these values to the formula:

\[
\text{Surface Area} = 2(4 \cdot 3) + 2(4 \cdot 2) + 2(3 \cdot 2)
\]

Let's compute each part:
\[
2(4 \cdot 3) = 2 \cdot 12 = 24
\]
\[
2(4 \cdot 2) = 2 \cdot 8 = 16
\]
\[
2(3 \cdot 2) = 2 \cdot 6 = 12
\]

Adding them together:

\[
24 + 16 + 12 = 52 \, \text{yd}^2
\]

Thus, the surface area of the rectangular prism is:

\[
\boxed{52 \, \text{yd}^2}
\]

Would you like more details or have any questions?

Here are 5 related questions to explore:
1. How do you find the volume of a rectangular prism?
2. What is the difference between surface area and volume?
3. How does changing one dimension of a prism affect its surface area?
4. How can the formula for surface area be applied to different shapes?
5. Why do we multiply each face area by 2 in the surface area formula?

**Tip:** Always ensure the units are consistent when calculating surface area or volume to avoid errors.

Find the surface area of the rectangular prism with dimensions 4 yards by 3 yards by 2 yards.

Learn how to calculate the surface area of a rectangular prism with dimensions 4 yards, 3 yards, and 2 yards. This problem uses geometry concepts and the surface area formula for 3D shapes, suitable for students in Grades 6-8.

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