Subjects geometry

Cuboid Surface Area Bb3Cfd

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1. **State the problem:** Calculate the surface area of a cuboid with dimensions height $h=30$ cm, width $w=23$ cm, and depth $d=11$ cm. 2. **Formula for surface area of a cuboid:** $$\text{Surface Area} = 2(hw + hd + wd)$$ This formula adds the areas of all six faces: two each of height-width, height-depth, and width-depth. 3. **Calculate each product:** $$hw = 30 \times 23 = 690$$ $$hd = 30 \times 11 = 330$$ $$wd = 23 \times 11 = 253$$ 4. **Sum the products:** $$690 + 330 + 253 = 1273$$ 5. **Multiply by 2:** $$2 \times 1273 = 2546$$ 6. **Final answer:** The surface area of the cuboid is **2546 cm\textsuperscript{2}**.