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.