Exam · Task 14
Cube
Cross-section
Cube cross-section through edge midpoints
Problem
In cube ABCDA₁B₁C₁D₁ with edge 1, points M, N and K are the midpoints of edges AB, BC and CC₁.
(a) Construct the cross-section of the cube by plane MNK and prove that it is a regular hexagon.
(b) Find the area of the cross-section.
Answer
3√3 ⁄ 4 ≈ 1.30
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