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29 December, 14:24

An open box is constructed from a square 10-inch piece of cardboard by cutting squares of length x inches out of each corner and folding the sides up. Express the volume of the box as a function of x, and state the domain.

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  1. 29 December, 14:39
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    Answer: V = 8x^3-80x^3 + 200x

    Domain 0
    Step-by-step explanation:

    Dimension of cardboard = 10 by 10

    Let the length of box = 10-2x

    Let the width of box = 10 - 2x

    Let the height of box be = x

    Volume = l*w*h

    V = (10-2x) * (10-2x) * x

    V = 100 - 40x + 42 * x

    V = 8x^3 - 80x^2 + 200x
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