1. **State the problem:** Find the surface area of a rectangular prism with length $8$ ft, height $6$ ft, and depth $2$ ft.
2. **Formula:** The surface area $SA$ of a rectangular prism is given by:
$$SA = 2(lw + lh + wh)$$
where $l$ is length, $w$ is width (depth), and $h$ is height.
3. **Substitute the values:**
$$SA = 2(8 \times 2 + 8 \times 6 + 2 \times 6)$$
4. **Calculate each product:**
$$8 \times 2 = 16$$
$$8 \times 6 = 48$$
$$2 \times 6 = 12$$
5. **Sum inside the parentheses:**
$$16 + 48 + 12 = 76$$
6. **Multiply by 2:**
$$SA = 2 \times 76 = 152$$
7. **Final answer:** The surface area of the rectangular prism is **152 square feet**.
This means if you covered all the faces of the prism, the total area covered would be 152 ft².
Surface Area Rectangular Prism C10F3C
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