SOLUTION: An open box is to be made from a rectangular piece of tin by cutting two inch squares out of the corners and folding up the sides. The volume of the box will be 100 cubic inches. F

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: An open box is to be made from a rectangular piece of tin by cutting two inch squares out of the corners and folding up the sides. The volume of the box will be 100 cubic inches. F      Log On


   

Question 173623This question is from textbook Introductory Algebra
: An open box is to be made from a rectangular piece of tin by cutting two inch squares out of the corners and folding up the sides. The volume of the box will be 100 cubic inches. Find the dimensions of the rectangular piece of tin. This question is from textbook Introductory Algebra

Answer by 303795(602) About Me  (Show Source):
You can put this solution on YOUR website!
The question as written would appear to have many possible answers. If 2 inch squares are cut from the corners of the rectangular piece of tin then the box must be 2 inches tall. If the volume of the box is 100 cubic inches and the box is 2 inches high then the base must be 50 square inches in size.
This could be done by having a base of 1 inch by 50 inches (so the sheet of tin is 5 inches x 54 inches) or 2 inches by 25 inches (tin sheet is 6 inches x 29 inches) or any other combination of sides which multiply to give 50 (the tin sheet would be 4 inches longer on each dimension).