A hexagonal pyramid is cut by a plane as shown in the diagram. What is the shape of the resulting cross section? see diagram

From the diagram you can see that plane cuts each lateral face of hexagonal pyramid and do not cut the base. A hexagonal pyramid has six lateral faces. The intersection of each of these lateral faces with given cutting plane is segment. The figure which consists of these segments is hexagon. This hexagon is not the same as base and even is not similar to the base because the cutting plane is not parallel to the base.

Answer: resulting cross section is a hexagon, correct choice is option 4.

akposevictor akposevictor · Answer 2 · 2022-05-11T10:43:29+02:00

The shape of the resulting cross section of the hexagonal pyramid in the diagram given is: a hexagon.

What is a Hexagonal Pyramid?

A hexagonal pyramid is a pyramid with six lateral faces and an hexagonal base.

In the given diagram, the plane cuts each of the lateral faces of the pyramid, giving a resultant shape that has 6 sides and angles, which is a hexagon.

Therefore, the cross section shape is: a hexagon.

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