Subjects geometry

Surface Area 42Cd3F

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1. **Problem statement:** Calculate the surface area of each object. 2. **Formula for surface area of a rectangular box:** $$SA = 2(lw + lh + wh)$$ where $l$ is length, $w$ is width, and $h$ is height. 3. **For the cereal box:** Given $l=10$ in, $w=7$ in, $h=2.5$ in. Calculate each product: $$lw = 10 \times 7 = 70$$ $$lh = 10 \times 2.5 = 25$$ $$wh = 7 \times 2.5 = 17.5$$ Sum these: $$70 + 25 + 17.5 = 112.5$$ Multiply by 2: $$SA = 2 \times 112.5 = 225$$ So, the surface area of the cereal box is **225 square inches**. 4. **For the cube:** Each side $s = 1$ m. Surface area of a cube is: $$SA = 6s^2$$ Calculate: $$6 \times 1^2 = 6$$ So, the surface area of the cube is **6 square meters**. **Final answers:** - Cereal box surface area: $225$ square inches - Cube surface area: $6$ square meters