https://r2.erweima.ai/mathbot/image/1725671675163hpi0tlvm.jpg

The image shows a rectangular prism made up of unit cubes, and we are asked to find its surface area. 

From the image:
- The width is 1 yard (as marked).
- The height is 3 cubes (so 3 units).
- The length is 4 cubes (so 4 units).

Each cube is a 1-yard cube. This gives the dimensions of the prism as:
- Length: 4 yards
- Width: 1 yard
- Height: 3 yards.

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

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

Where:
- \( l = 4 \, \text{yd} \) (length)
- \( w = 1 \, \text{yd} \) (width)
- \( h = 3 \, \text{yd} \) (height)

Now, calculating:

\[
\text{Surface Area} = 2((4 \times 1) + (4 \times 3) + (1 \times 3))
\]

\[
= 2(4 + 12 + 3) = 2 \times 19 = 38 \, \text{yd}^2
\]

The surface area of the rectangular prism is **38 square yards**.

Would you like more details on the steps? 

Here are 5 related questions to expand your knowledge:
1. How do you find the volume of a rectangular prism?
2. How does surface area change if one of the dimensions is doubled?
3. What is the difference between surface area and volume?
4. How do you calculate surface area for irregular shapes?
5. How would the surface area change if the prism was a cube instead?

**Tip**: When calculating the surface area, make sure you account for each pair of faces twice—this is a common mistake.

El sólido a continuación está formado por cubos. Hallar su área de superficie.

Learn how to find the surface area of a rectangular prism formed by unit cubes. This problem involves understanding the dimensions and applying the surface area formula for a rectangular prism. Suitable for students in Grades 6-8.

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