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Math Help - A box with a square base has a surface area including the top of 3 m^2.

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    A box with a square base has a surface area including the top of 3 m^2.

    1. A box with a square base has a surface area including the top of 3 m^2. Express the volume V of the box as a function of the width w of the base.


    2. A stone is thrown into a lake and t seconds later after the splash the diameter of the circle of the ripples is t meters.
    a. Express the circumference C of this circle as a function of t.
    b. Express the area A of this circle as a function of t.

    Please Help!!!
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    Quote Originally Posted by Jasmina8 View Post
    1. A box with a square base has a surface area including the top of 3 m^2. Express the volume V of the box as a function of the width w of the base.
    surface area ... 2w^2 + 4wh = 3

    use the surface are equation to solve for h in terms of w, then substitute for h in the volume equation ...

    V = w^2h

    2. A stone is thrown into a lake and t seconds later after the splash the diameter of the circle of the ripples is t meters.
    a. Express the circumference C of this circle as a function of t.
    b. Express the area A of this circle as a function of t.
    you are given that d = t ...

    a. hint ... C = \pi d

    b. two hints ... A = \pi r^2 and r = \frac{d}{2}
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