3D Pythagorean Theorem — Worked Examples
Five real-world examples demonstrating the 3D Pythagorean Theorem formula (a²+b²+c²=d²).
1
Small Room (3×4×5m)
The classic 3D Pythagorean triple
Inputs
a 3
b 4
c 5
Result
d 7.0711
2
Shipping Container (12×2.4×2.6m)
Standard 40ft shipping container diagonal
Inputs
a 12
b 2.4
c 2.6
Result
d 12.4677
3
TV Through Door (1×0.6×1.2m)
Will the TV fit through the door diagonally?
Inputs
a 1
b 0.6
c 1.2
Result
d 1.6613
4
Warehouse (50×30×10m)
Longest conveyor belt possible
Inputs
a 50
b 30
c 10
Result
d 59.1608
5
Cube (5×5×5m)
Space diagonal of a perfect cube
Inputs
a 5
b 5
c 5
Result
d 8.6603