Given a cube ABCDA1 B1 C1 D1 with an edge of 10 cm. Find the distance between lines AD and CC1.

univerkov | March 2, 2021 | education

1) First, let’s make a drawing
2) Note that the angles ∠ADC and ∠DCC1 are straight, since each face of the cube is a square.
3) Then line CD is perpendicular to line AD and line CC1. This means that CD is the desired distance.
4) Since CD is one of the edges of the cube, then CD = 10 cm.
ANSWER: 10 cm.

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