Use the formula 1/2bh to find the area of a triangle side. Then multiply that by 6 because you have 6 sides on the base.
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Hexagonal prisms cannot be regular. If you tried to make one it would end up being a hexagon since six equilateral triangles make a hexagon. Therefore, there is no surface area.
Knowing the slant height helps because it represents the height of the triangle that makes up each lateral face. So, the slant height helps you to find the surface area of each lateral face.
To find the number of vertices on any pyramid, take the number of corners on the base and add 1 (for the top) A hexagonal based pyramid has 7 vertices (6 for the hexagon, 1 for the top) I suspect you might mean "hexagonal prism" though. In which case, for prisms, you double the number of corners in the 2D shape. A hexagonal prism has 12 vertices (6 for the hexagons at each end.)
use the formula: Volume=1/3 x(times) the area of the base x(times) height (V=1/3Bh) plug in the numbers
The formula to find the area of an octagonal pyramid is area of base plus area of sides.