Question 1013747: There are 3 identical wooden blocks that are 50 inches long, 5 inches wide, and 2 inches thick. if you glue them together(stacked) what is the largest and smallest outer surface area you can get?
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
Each of the blocks is presumably a rectangular solid, hence each block has 6 faces, 2 each 50 X 5 inches, 50 X 2 inches, and 5 X 2 inches. If you glue the largest area faces together you will get the smallest overall surface area, and if you glue the smallest areas together, you get the largest overall surface area.
The total surface area of one of the blocks is 2 times 250 square inches plus 2 times 100 square inches plus 2 times 10 square inches for a total of 720 square inches.
The total surface area of three blocks glued together is the sum of the surface areas of the three blocks minus 4 times the area of the sides that are glued together.
720 times 3 is 2160 minus 4 times 250 is 2160 minus 1000 is 1160. 720 times 3 is 2160 minus 4 times 10 is 2160 minus 40 is 2120.
John
My calculator said it, I believe it, that settles it
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