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 2 years ago
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An open box is formed by cutting a 5 inch square measured from each corner and folding up the sides. If the volume of the carton is then 40 in3, what was the length of a side of the original square of cardboard
 2 years ago
Please Help! An open box is formed by cutting a 5 inch square measured from each corner and folding up the sides. If the volume of the carton is then 40 in3, what was the length of a side of the original square of cardboard

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shashi20008
 2 years ago
Best ResponseYou've already chosen the best response.1you see the box is made by cutting 5 inch square from each corner, so the height of the box will be 5 inches, now volume of box is given as 40 in3 so area of base of the box = volume/ height = (40/5) in2 = 8 in2 now that you have area, and its given that originally the cardboard was square, hence length of side of square = \[\sqrt{8} in\]\[2\sqrt{2} in\]

shashi20008
 2 years ago
Best ResponseYou've already chosen the best response.1ohh sorry that will be the length of a side of the box, the length of actual cardboard will be \[(2\sqrt{2} + 10) in\]the 10 being added to make up for the 5 in squares cut from corners.
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