Question 58560
a) Find the function, V, in terms of x for the volume of the box.

{{{V = (4-2x)(6-2x)x}}}
{{{V = (24 -20x + 4x^2)x}}} Simplify.
{{{V = 4x^3 - 20x^2 + 24x}}} This the function for the volume.
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b) The graph of this:
{{{graph(300,200,-5,5,-5,10,4x^3-20x^2+24x)}}}
The valid range of x: {{{0<x<2}}}
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c) The maximum volume occurs at x = 0.785