SOLUTION: An open box is to be made from a rectangular piece of tin by cutting 2-inch squares out of the corners and folding up the sides. The length of the finished box is to be twice the

Algebra ->  Inequalities -> SOLUTION: An open box is to be made from a rectangular piece of tin by cutting 2-inch squares out of the corners and folding up the sides. The length of the finished box is to be twice the      Log On


   

Question 1178686: An open box is to be made from a rectangular piece of tin by cutting 2-inch squares out of the corners and folding up the sides. The length of the finished box is to be twice the width. The volume of the box will be 100 cubic inches. Find the dimensions of the rectangular piece of tin.
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Original dimensions of the tin sheet:
w and L, width and length

system%282%28w-2%2A2%29%28L-2%2A2%29=100%2C2%28w-2%2A2%29=L-2%2A2%29


system%28%28w-4%29%28L-4%29=50%2C2%28w-4%29=L-4%29

substitute L-4 into the 'volume' equation.
%28w-4%29%282%28w-4%29%29=50
%28w-4%29%5E2=25------not too complicated from here,...
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