SOLUTION: Suppose you have a rectangular sheet with width of 5in and length of 10in. You want to make an open-top box from this sheet by cutting out squares from each corner and folding up t

Question 810933: Suppose you have a rectangular sheet with width of 5in and length of 10in. You want to make an open-top box from this sheet by cutting out squares from each corner and folding up the sides. Let the side of each square have length x in.
Find an expression in terms of x (in simplified form) of the volume of the open-top box. Let the volume be denoted by V(x).
Choose One:
a. V(x) = 50x - 15x^2 + x^3
b. V(x) = 50x - 30x^2 + 4x^3
c. V(x) = 50 - 15x + x^2
d. V(x) = 50 - 30x + 4x^2
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The sides of the base of that box will be inches shorter than the original rectangular sheet,so the measurements of the box are
base length = inches
base width = inches
The height of the box will be inches, so the volume in cubic inches is

with the polynomial in standard form.
OR

(answer b) for those who do not care about standards.
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