Subjects geometry

Surface Area Box 88281D

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1. **State the problem:** We need to find the total surface area of a rectangular prism-like box with dimensions 14 in. (height), 3 in. (width), and 3 in. (depth). 2. **Formula for surface area of a rectangular prism:** $$\text{Surface Area} = 2(lw + lh + wh)$$ where $l$, $w$, and $h$ are the length, width, and height respectively. 3. **Identify dimensions:** - Length $l = 14$ in. - Width $w = 3$ in. - Height $h = 3$ in. 4. **Calculate each area term:** - $lw = 14 \times 3 = 42$ - $lh = 14 \times 3 = 42$ - $wh = 3 \times 3 = 9$ 5. **Sum the areas:** $$lw + lh + wh = 42 + 42 + 9 = 93$$ 6. **Calculate total surface area:** $$2 \times 93 = 186$$ 7. **Final answer:** The total surface area is **186 in²**.