TMUA Official 2016 Paper 1 · Question 20

Official papers

Official 2016 Paper 1 · Q20

Paper 1Geometry

The diagram shows a square-based pyramid with base $PQRS$ and vertex $O$ . All the edges of the pyramid are of length 20 metres.

Find the shortest distance, in metres, along the outer surface of the pyramid from $P$ to the midpoint of $OR$ .

10\sqrt{5-2\sqrt{3}}

10\sqrt{3}

10\sqrt{5}

10\sqrt{7}

10\sqrt{5+2\sqrt{3}}

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