SOLUTION: A rectangular storage bin is to be made from a rectangular piece of sheet metal 16 in. by 14 ​in., by cutting out equal corners of side x and bending up the​ sides. Exp
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Question 1072574: A rectangular storage bin is to be made from a rectangular piece of sheet metal 16 in. by 14 in., by cutting out equal corners of side x and bending up the sides. Explain how to determine the maximum possible capacity for a storage bin constructed in this way. What is the maximum possible capacity?
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
v is volume as a function of x; x is the length of corner square to remove.
Simplify v into general form through multiplications. Find , equate to 0 and look for local maximum.
Set to 0.
, x to get maximum v
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