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A box without a lid is constructed from a 38 inch by 38 inch piece of cardboard by cutting in. squares from each corner and folding up the sides.
a) Determine the volume of the box as a function of the variable .
b) Use a graphing calculator to approximate the values of that produce a volume of 3858.1875.
c)There are 3 values of that produce the given value but only two of them are acceptable in the context of the problem. List the two answers, to at least one decimal place.

length of box = 38 - 2x
width of box = 38-2x
volume of box = V = (38-2x)(38-2x)(x)
V = (1444-152x+4x^2)x
V = 1444x -152x^2 +4x^3
that should get you started

SO would I set both (1444-152x+4x^2)x
and 1444x -152x^2 +4x^3 equal to 3858.1875 to find part c?

6x2 - 21xy + 8xz - 28yz.

had this same probem for college pre-calculue couldn't solve B any other way but guess and check/logic x=4.5

secondary largest possible answre is

x values sould be 4.75 and 8.06........

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