Relational operators comparing lengths

Class Length stores meter and centimetre. To compare two lengths, each is converted to centimetres (meter * 100 + cm), and the relational operators <, >, ==, !=, <= and >= are overloaded as member functions returning bool.

#include <iostream>
using namespace std;

class Length {
    int meter;
    float cm;
    float total() { return meter * 100 + cm; }   // length in cm
public:
    void read() {
        cout << "Enter meter and cm: ";
        cin >> meter >> cm;
    }
    void show() { cout << meter << " m " << cm << " cm"; }

    bool operator<(Length l)  { return total() <  l.total(); }
    bool operator>(Length l)  { return total() >  l.total(); }
    bool operator==(Length l) { return total() == l.total(); }
    bool operator!=(Length l) { return total() != l.total(); }
    bool operator<=(Length l) { return total() <= l.total(); }
    bool operator>=(Length l) { return total() >= l.total(); }
};

int main() {
    Length a, b;
    a.read();
    b.read();

    a.show(); cout << " vs "; b.show(); cout << endl;
    if (a == b)      cout << "Both lengths are equal" << endl;
    else if (a > b)  cout << "First length is greater" << endl;
    else             cout << "Second length is greater" << endl;

    cout << "a != b : " << (a != b) << endl;
    cout << "a <= b : " << (a <= b) << endl;
    cout << "a >= b : " << (a >= b) << endl;
    return 0;
}

Sample run:

Enter meter and cm: 2 50
Enter meter and cm: 1 120
2 m 50 cm vs 1 m 120 cm
First length is greater
a != b : 1
a <= b : 0
a >= b : 1

Here 2 m 50 cm = 250 cm and 1 m 120 cm = 220 cm, so the first length is greater.