Question

Rectangular box is made from a piece of cardboard that is 24 inches long and 9...

Rectangular box is made from a piece of cardboard that is 24 inches long
and 9 inches wide by cutting out identical squares from the four corners and turning up
the sides. Find the dimensions of the box of maximum volume. What is this maximum
volume?

Math   Calculus   
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Homework Answers

Answer #1

At x = 2 , volume maximize

Thus , Length of box = 24 - 2x = 24-2(2) = 20 in

Width of box = 9-2x = 9-2(2) = 5 in

Height of box = 2 in

So , Maximum Volume = 20 x 5 x 2 = 200 in​​​​​3

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