Subjects geometry

Prism Surface Area 3205A2

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1. **State the problem:** We need to find the total surface area of a rectangular prism with dimensions 8 ft, 7 ft, and 5 ft. 2. **Formula for total surface area of a rectangular prism:** $$\text{Surface Area} = 2(lw + lh + wh)$$ where $l$, $w$, and $h$ are the length, width, and height of the prism. 3. **Identify the dimensions:** Let $l = 8$ ft, $w = 7$ ft, and $h = 5$ ft. 4. **Calculate each product:** $$lw = 8 \times 7 = 56$$ $$lh = 8 \times 5 = 40$$ $$wh = 7 \times 5 = 35$$ 5. **Sum the products:** $$56 + 40 + 35 = 131$$ 6. **Multiply by 2 to get total surface area:** $$2 \times 131 = 262$$ 7. **Final answer:** The total surface area of the prism is $262$ square feet. Note: The given options do not include 262, so please verify the dimensions or options provided.