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A carpenter is cutting wood strips to make picture frames each frame is 8 in by 10 in how many frames can he cut from a piece of wood that is 8 feet long?
Klellt
There is really no straight way to answer this without enough information on the dimensions of the wood. If I knew the width of the board that the strips were being cut from, and the type of wood joint to be used i could give a better answer, so I will roughly go over the multiple answers. Lets say the board is 1 inch thick, 2 inches wide, and 8 feet long, and you are going to use butt joints on the frame, the ten inch side of the frame could be made of 6 inch longstrips, because of the width of the 8 inch strips or the other way around. You could make 3 frames with this method, with 12 inches left over.
Using the same dimension board, but using a miter joint. You measure your outside edge of the board to the finish dimension, 8x10. You will have longer strips on either side than with butt joints, but you can flip the board after each 45 degree cut to reduce waste, by about two inches for every two strips cut. You can still make 3 frames, but with no waste save for a 2 inch triangle from each end of the board.
If it were a thicker board, and ripped down the middle, or by 3, you can do even more. The possibilities are endless, and I have had a lot of fun with this question.
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