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an open box is made by cutting squares from the corners of a piece of metal that is 18 cm by 26 cm. If the edge of each cut-out square is x cm, find the volume when x=1, x=2, and x=3.

If someone could explain to me how to do this. It would be very appreciated. Thanks!

  • Trigonometry -

    take a piece of paper and scissors and actually cut out the squares, then fold up the sides

    I will do the case of x = 2
    then the length = 26 - 4 = 22 (cut 2 cm off each end)
    the width = 18-4 = 14
    the height will be 2

    volume = (22)(14)(2) = 616 cm^3

    do the other two cases the same way.

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