SOLUTION: Making a box, a rectangular box is to be formed by cutting squares from each corner of a rectangular piece of tin and folding up the sides. The box is to be 3 inches high, the len

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Question 4463: Making a box, a rectangular box is to be formed by cutting squares from each corner of a rectangular piece of tin and folding up the sides. The box is to be 3 inches high, the length is to be twice the width, and the volume of the box is to be 96 cubic inches. Find the legnth and width of the box? HELP QUICK!!!!!!
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
This problem is much easier than it looks at first glance. The part about cutting the squares from the rectangular piece of tin is actually irrelevant to the problem. This is a VOLUME problem, plain and simple!! V= LWH

Let H = 3 inches (given)
x = width of rectangle
2x = length of rectangle

V = LWH
%282x%29%2Ax%2A+3+=+96
6x%5E2+=+96

Divide both sides by 6.
x%5E2+=+16
x+=+4+ or x+=-4, but x is a side of a rectangle, so it cannot be negative.

x= 4 width of the rectangle
2x = 8 length of the rectangle.

Check: Volume = LWH+=+8%2A+4%2A+3= 96 cubic inches.

R^2 at SCC