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To find the minimum amount of wood Elise will need, we can calculate the surface area of each of the six sides of the box and add them together.
Surface area of the front and back sides (with dimensions 10x8): 10 x 8 + 10 x 8 = 160 square inches
Surface area of the top and bottom sides (with dimensions 10x12): 10 x 12 + 10 x 12 = 240 square inches
Surface area of the left and right sides (with dimensions 8x12): 8 x 12 + 8 x 12 = 192 square inches
Total surface area = 160 + 240 + 192 = 592 square inches
Therefore, Elise will need a minimum of 592 square inches of wood to build her box.