problem: pytagorean theorem cuboid box longest item
What is the length of the the longest item of a cuboid (30 cm x 80 cm x 120 cm) that can be placed inside the box?
answer: pytagorean theorem cuboid box longest item
1. step: given/wanted
leg 1: 30 cm
leg 2: 80 cm
leg 3: 120 cm
wanted: longest item (hypotenuse)?
2. step: calculate
hypotenuse = √(leg 1² + leg 2² + leg 3²)
hypotenuse = √(30² + 80² + 120²)
hypotenuse = 147,3 cm
3. step: answer
The length of the longest item is 147,3 cm.