calculate the cuboid 1:
A rectangular box has a length of 11 cm, a width of 9 cm and a height of 3 cm.
a) calculate the volume
b) calculate the surface and the body diagonale
a) answer volume
V = l * w * h
V = 11 * 9 * 3
V = 297 cm³
A: The volume is 297 cm³.
b) answer surface and the body diagonale
face diagonale 1 = √(leg 1² + leg 2²)
face diagonale 1 = √(11² + 9²)
face diagonale 1 = 14.21 cm
face diagonale 2 = √(leg 1² + leg 3²)
face diagonale 2 = √(11² + 3²)
face diagonale 2 = 11.40 cm
face diagonale 3 = √(leg 2² + leg 3²)
face diagonale 3 = √(9² + 3²)
face diagonale 3 = 9.49 cm
body diagonale = √(leg 1² + leg 2² + leg 3²)
body diagonale = √(11² + 9² + 3²)
body diagonale = 14.53 cm