Subjects geometry

Surface Area Fa278F

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1. **State the problem:** Calculate the total surface area $A$ of the right rectangular prism given the net dimensions. 2. **Identify the dimensions:** From the net, the prism has length $l=12$ in, width $w=7$ in, and height $h=11$ in. 3. **Formula for surface area of a rectangular prism:** $$A=2(lw + lh + wh)$$ This formula sums the areas of all six faces. 4. **Calculate each area:** - $lw = 12 \times 7 = 84$ - $lh = 12 \times 11 = 132$ - $wh = 7 \times 11 = 77$ 5. **Sum and multiply by 2:** $$A=2(84 + 132 + 77) = 2(293) = 586$$ 6. **Final answer:** The total surface area is $\boxed{586}$ in².