problem: cuboid face and body diagonale
cuboid (20 cm x 50 cm x 90 cm). Find the face and body diagonale!
answer: cuboid face and body diagonale
1. step: given/wanted
leg 1: 20 cm
leg 2: 50 cm
leg 3: 90 cm
wanted: face and body diagonale
2. step: calculate
face diagonale 1 = √(leg 1² + leg 2²)
face diagonale 1 = √(20² + 50²)
face diagonale 1 = 53.85 cm
face diagonale 2 = √(leg 1² + leg 3²)
face diagonale 2 = √(20² + 90²)
face diagonale 2 = 92.20 cm
face diagonale 3 = √(leg 2² + leg 3²)
face diagonale 3 = √(50² + 90²)
face diagonale 3 = 102.96 cm
body diagonale = √(leg 1² + leg 2² + leg 3²)
body diagonale = √(20² + 50² + 90²)
body diagonale = 104.88 cm