Abox is to be constructed from a sheet of cardboard that is 10 cm by 60 cm by cutting out squares of length x by x from each corner and bending up the sides. what is the maximum volume this box could have? (round your answer to two decimal places. do not include units, for example, 10.22 cm would be 10.22.)

The volume of a box, is given by the function



         

The critical values, that is the points where the graph of the function takes its minimal and maximal values are found by solving V'(x)=0.



we solve 

a=3, b=-70, c=150



square root of 3100 is ≈ 55.68





x cannot be 20.95, because the side 10-2x would be negative, which makes no sense.

So x= 2.39

2.39

How many groups are there?