Information

Pyramid trunk


If a plane intersects all edges of a pyramid, parallel to its bases, it divides the solid into two others: a new pyramid and a pyramid trunk. Given the following regular pyramid trunk, we have:

  • the bases are parallel and similar regular polygons;

  • the lateral faces are congruent isosceles trapezoids.

Areas

We have the following areas:

a) lateral area (THEL): sum of the areas of the congruent isosceles trapezius forming the lateral faces.

b) total area (THET): sum of the lateral area with the sum of the smaller base areas (THEB) it's bigger (THEB).

THET = AL+ AB+ AB

Volume

The volume of a regular pyramid trunk is given by:

Since V is the volume of the pyramid and V 'is the volume of the pyramid obtained by the section, the relation is valid:

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