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(a)
The open box has a square base.
Volume = area of the baseheight.
In this case area of the base .
Volume of the box cubic feet.
.
Solve for .
.
Find the area of remaining four sides of the box.
Area of the four sides is .
Substitute in .
.
Total area = .
(b)
Substitute in .
square feet material is required.
(c)
Substitute in .
square feet material is required.
(d)
Graph the function .
Graph of the function :
Locate the minimum point on the graph of .
is smallest when ft.
(a) .
(b) square feet.
(c) square feet.
(d)
Graph of the function :
is smallest when ft.
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