2. Some pencils are cylindrical, and others are hexagonal prisms. If the diame
cylinder is the same length as the longest diagonal of the hexagon, which has the
greatest surface area and which has a greater volume? Explain. Assume that each
pencil is 11inches long and unsharpened.

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.