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An open box is made from a square piece of metal by cutting out a 4 inch square from each corner and turning up the sides. Find the area of the original square if the box is to contain:
A) 16 cubic inches
B) 400 cubic inches

  • Math -

    let the piece of metal be x inches by x inches

    base of box is (x-8) by (x-8) , where x

    4(x-8)(x-8) = 16
    x^2 - 16x + 64 = 4

    (x-6)(x-10) = 0
    x = 6 or x = 10 , but remember x > 8

    so the original piece of metal was 10 inches by 10 inches

    You try B

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