2, unable to answer
3. Let the length of the subtracted cube be a, then the volume of the folded carton = a (24-2a) (24-2a) = 4a (12-a) (12-a).
Let y=4a( 12-a)( 12-a) and y' = 4 (12-a) (12-a)+8a (12-a).
Let y'=0, then the maximum value of A is 12, the minimum value is 4, and the minimum value of Y' corresponds to a=8, then when a=
Y is the largest.
4. Find two extreme scores, one is-10 for all wrong answers and the other is -40 for all correct answers, so let's set one correct answer, b wrong answers and c no answers, and then-10 "4a-b" 40. From-10 to 40***, there are 5 1 integers, that is, there are at most 5 1 grades.
When a= 10, b=0, corresponding to 1 level 40.
When a=9 and b=0 or 1, there are two grades 36 and 35.
When a=8 and b=0 or 1 or 2, there are three grades 32,3130.
When a=7, b=0 or 1 or 2 or 3, it corresponds to four grades of 28, 27, 26 and 25.
5 1 minus the digits not involved, there are 45 kinds of * * *.
……
By analogy, the value of (10-a) is+1, which is the number of values that B can take, so 1+2+... 10.