Answer:
A program in C++ was written to prompts the user to enter the area of the flat cardboard.
Explanation:
Solution:
The C++ code:
#include <iostream>
#include <iomanip>
#include <cmath>
using namespace std;
double min(double,double);
void max(double,double,double&,double&);
int main()
{double area,length,width=.001,vol,height,maxLen,mWidth,maxHeight,maxVolume=-1;
cout<<setprecision(3)<<fixed<<showpoint;
cout<<"Enter the area of the flat cardboard: ";
cin>>area;
while(width<=area)
{length=area/width;
max(length,width,vol,height);
if(vol>maxVolume)
{maxLen=length;
mWidth=width;
maxHeight=height;
maxVolume=vol;
}
width+=.001;
}
cout<<"dimensions of card to maximize the cardboard box which has a volume "
<<maxVolume<<endl;
cout<<"Length: "<<maxLen<<"\nWidth: "<<maxLen<<endl;
cout<<"dimensions of the cardboard box\n";
cout<<"Length: "<<maxLen-2*maxHeight<<"\nWidth: "
<<mWidth-2*maxHeight<<"\nHeight: "<<maxHeight<<endl;
return 0;
}
void max(double l,double w,double& max, double& maxside)
{double vol,ht;
maxside=min(l,w);
ht=.001;
max=-1;
while(maxside>ht*2)
{vol=(l-ht*2)*(w-ht*2)*ht;
if(vol>max)
{max=vol;
maxside=ht;
}
ht+=.001;
}
}
double min(double l,double w)
{if(l<w)
return l;
return w;
}
Note: Kindly find the output code below
/*
Output for the code:
Enter the area of the flat cardboard: 23
dimensions of card to maximize the cardboard box which has a volume 0.023
Length: 4.796
Width: 4.796
dimensions of the cardboard box
Length: 4.794
Width: 4.794
Height: 0.001
*/
