Rectangular Object

• Problem Description

  
  Subbu needs to make a rectangular box for his physics class project. He has bought P cm of wire and S cm2 of special paper. He would like to use all the wire (for the 12 edges) and paper (for the 6 sides) to make the box.
  
  What is the largest volume of the box that Johnny can make?
  Input
  
  The first line contains t, the number of test cases (about 10). Then t test cases follow.
  
  Each test case contains two integers P and S in a line (1<= P <= 40000, 1 <= S <= 20000). You may assume that there always exists an optimal solution for the given input cases.
  Output
  
  For each test case, print a real number that is the largest volume of the box that Johnny can make, rounded to two decimal places.

• Test Case 1

  
  Input (stdin)

  2
  
  20 14
  
  20 16
  
  

  Expected Output

  3.00
  
  4.15

• Test Case 2

  
  Input (stdin)

  2
  
  40 20
  
  30 15
  
  

  Expected Output

  2.64
  
  2.02

• Program

• #include<stdio.h>
  #include<math.h>
  int main()
  {
  
      int t,p,s;
      float v,h,d;
      scanf("%d",&t);
      while(t--){
          scanf("%d %d",&p,&s);
          d=sqrt(p*p-24*s);
          h=(p-d)/12;
          v=(h*h*h)-((h*h*p)/4)+((s*h)/2);
          printf("%.2f\n",v);
      }return 0;
  }