Subjects geometry

Square Prism Area

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1. **State the problem:** We need to find the surface area $A$ of a square prism with base edge length $s=14$ inches and height $h=18$ inches using the formula $$A = 2s^2 + 4sh.$$ 2. **Formula explanation:** The formula for the surface area of a square prism is $$A = 2s^2 + 4sh,$$ where: - $2s^2$ represents the area of the two square bases, - $4sh$ represents the area of the four rectangular sides. 3. **Substitute the given values:** $$A = 2(14)^2 + 4(14)(18).$$ 4. **Calculate each term:** - Calculate $14^2$: $$14^2 = 196.$$ - Multiply by 2: $$2 imes 196 = 392.$$ - Calculate $4 imes 14 imes 18$: $$4 imes 14 = 56,$$ then $$56 imes 18 = 1008.$$ 5. **Add the two parts:** $$A = 392 + 1008 = 1400.$$ 6. **Conclusion:** The surface area of the square prism is $$\boxed{1400}$$ square inches.