SOLUTION: Could someone help me out with this problem. A box is made from a sheet of metal. The box has no top. Equal size squares measuring 4 inches can be cut from the corners so that the

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Question 113707This question is from textbook Beginning and Intermediate Algebra
: Could someone help me out with this problem.
A box is made from a sheet of metal. The box has no top. Equal size squares measuring 4 inches can be cut from the corners so that the remaining metal can be folded up into a box with no top. The length of the box is twice the width of the box and the volume of the resulting box is 936 inches cubed. write an equation with one variable representing the volume of the box. What are the dimensions of the sheet of metal? What are the dimensions of the box This question is from textbook Beginning and Intermediate Algebra

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
V=W*L*4
L=2W
936=W*2W*4
936=8W^2
8W^2-936=0
8(W^2-117)=0 TAKING THE SQUARE ROOT OF BOTH TERMS WE GET:
8(W+10.82)(W-10.82)=0
W-10.82=0
W=10.82 IN. ANSWER FOR THE WIDTH.
L=2*10.82
L=21.64 IN. ANSWER FOR THE LENGTH.
PROOF:
936=10.82*21.64*4
936~936