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Math Asked by a SnapAndSolve user · about 2 hours ago

Use the figure below to explain in words how to get 400 in² for the surface area of the cereal box.

Use the figure below to explain in words how to get 400 in² for the surface area of the cereal box.

Answer

To find the surface area of the cereal box, follow these steps:

  1. Identify the dimensions: The box has a height of 14 inches, a width of 8 inches, and a depth of 4 inches.
  2. Calculate the area of each face: The box is a rectangular prism, so it has three pairs of identical faces. Calculate the area of each pair:
  • Front and back faces: 14 in × 8 in = 112 in² each. Total for both = 224 in².
  • Top and bottom faces: 8 in × 4 in = 32 in² each. Total for both = 64 in².
  • Side faces: 14 in × 4 in = 56 in² each. Total for both = 112 in².
  • Add the areas of all faces: 224 in² + 64 in² + 112 in² = 400 in².
  • Conclusion: The total surface area of the cereal box is 400 in².
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