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MathNet 2017-part-06 — 176 problems (EN–VI) Question 69

Math Olympiad Vault · MathNet 2017-part-06 — 176 problems (EN–VI)

Question 69

A regular hexagonal pyramid is given with base edge length $a=10~\mathrm{cm}$ and lateral edge length $s=13~\mathrm{cm}$.

a) Compute the surface area of the pyramid exactly.

b) Compute exactly the area of the axial section of the pyramid obtained by cutting the pyramid with a plane passing through the apex of the pyramid and two vertices of the base.

(10 points)