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Answer:
720 square inches of paper.
Step-by-step explanation:
To determine how many square inches of paper are needed to cover all sides of the box, we need to calculate the surface area of the box.
Given dimensions:
Width (W) = 12 inches
Length (L) = 16 inches
Height (H) = 6 inches
The box has six sides:
Front and back sides (which are identical):
Area = Width (W) * Height (H)
Area = 12 inches * 6 inches = 72 square inches (for each side, so total for front and back = 2 * 72 = 144 square inches)
Side sides (which are identical):
Area = Length (L) * Height (H)
Area = 16 inches * 6 inches = 96 square inches (for each side, so total for both sides = 2 * 96 = 192 square inches)
Top and bottom sides (which are identical):
Area = Length (L) * Width (W)
Area = 16 inches * 12 inches = 192 square inches (for each side, so total for top and bottom = 2 * 192 = 384 square inches)
Now, add up all the areas to find the total surface area of the box:
Total surface area = Area of front and back sides + Area of side sides + Area of top and bottom sides
Total surface area = 144 square inches + 192 square inches + 384 square inches
Total surface area = 720 square inches
Therefore, 720 square inches of paper would be needed to cover all sides of the box.