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UKMT Senior Mathematical Challenge, 2019

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

The edge-length of the solid cube shown is $2$ . A single plane cut goes through the points $Y$ , $T$ , $V$ and $W$ which are midpoints of the edges of the cube, as shown. What is the area of the cross-section?

(A) $\sqrt{3}$ (B) $3\sqrt{3}$ (C) $6$ (D) $6\sqrt{2}$ (E) $8$

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