Subjects geometry

Surface Area Prism 140603

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1. **State the problem:** Find the surface area of a rectangular prism with dimensions 2 3 inches, 4 6 inches, and 2 8 inches. 2. **Interpret the dimensions:** The dimensions given seem to be mixed numbers or possibly typos. Assuming they mean 2.3 inches, 4.6 inches, and 2.8 inches. 3. **Formula for surface area of a rectangular prism:** $$SA = 2(lw + lh + wh)$$ where $l$, $w$, and $h$ are the length, width, and height. 4. **Assign values:** $l = 2.3$, $w = 4.6$, $h = 2.8$ 5. **Calculate each product:** $$lw = 2.3 \times 4.6 = 10.58$$ $$lh = 2.3 \times 2.8 = 6.44$$ $$wh = 4.6 \times 2.8 = 12.88$$ 6. **Sum the products:** $$10.58 + 6.44 + 12.88 = 29.9$$ 7. **Calculate surface area:** $$SA = 2 \times 29.9 = 59.8$$ 8. **Final answer:** The surface area of the rectangular prism is **59.8 square inches**.