To calculate the surface area of the right prism shown in the image:

Given:

• Length ($l$) = $8 \, \text{ft}$
• Width ($w$) = $2 \, \text{ft}$
• Height ($h$) = $3 \, \text{ft}$

The formula for the surface area of a rectangular prism is: $\text{Surface Area} = 2lw + 2lh + 2wh$

Step 1: Compute each term

1. $2lw = 2 \cdot 8 \cdot 2 = 32 \, \text{ft}^2$
2. $2lh = 2 \cdot 8 \cdot 3 = 48 \, \text{ft}^2$
3. $2wh = 2 \cdot 2 \cdot 3 = 12 \, \text{ft}^2$

Step 2: Add the results

$\text{Surface Area} = 32 + 48 + 12 = 92 \, \text{ft}^2$

Final Answer:

The surface area of the right prism is 92 square feet.

Would you like a breakdown of the formula or more examples? Let me know!

Here are 5 related questions to expand your understanding:

1. What is the volume of this prism?
2. How does the surface area change if the dimensions are doubled?
3. Can the formula be applied to triangular prisms? Why or why not?
4. What real-world objects resemble this rectangular prism?
5. How does surface area differ from lateral surface area?

Tip: Always double-check your dimensions when using formulas for surface area or volume!