dimensions of the base of the box will be (13-2x) and (14-2x)
the height would be x
so the volume = x(13-2x)(14-2x)
expand, differentiate that expression with respect to x,
set it equal to zero for a max of volume and solve for x
let me know what you get
A piece of cardboard measuring 13 inches by 14 inches is formed into an open-top box by cutting squares with side length x from each corner and folding up the sides.
Find a formula for the volume of the box in terms of x
V(x)=
Find the value for x that will maximize the volume of the box
x=
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