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A rectangular sheet of wood has four small squares removed from the corners. It is then cut to make a box that is 5 cm by 4 cm with a volume of 60 cm 3 . (Four pieces of size A4 are removed.) Find the original area of the sheet of wood.
Dear Sathyaram,
l x h x w = 60 h(5)(4) = 60 h = 3 A(1) = 4 x 5 = 20 2A(2) = 2(3)(5) = 30 2A(3) = 2(3)(4) = 24 4A(4) = 4(3)(3) = 36 Total A = A(1) + 2A(2) + 2A(3) + 4A(4) = 20 + 30 + 24 + 36 = 110cm2
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