To explain about the properties of cross section of a hexagonal pyramid.
Explanation of Solution
Given Information:
Hexagonal pyramid
Formula used:
A hexagonal pyramid is a pyramid with a hexagonal base upon which are erected six isosceles triangular faces that meet at a point.
Cross sections perpendicular to the base and through the vertex will be isosceles
The figure below shows about the vertical cross section:
There are two ways to make the cross section: The base can be cut through two opposite vertices or through the centre of two opposite sides as shown below.
The cross sections will always be isosceles triangles. The length of the sides may differ, depending on the nature of cross section.
Another way of cross sectioning hexagonal pyramid is the horizontal section. Since the base of the pyramid is regular hexagon, a horizontal section will provide hexagons. However the horizontal section doesn’t separate the figure into congruent figures.
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