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Q: Why does a prism or a cylinder have a set of parallel cross sections that are parallelograms?

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A cylinder has a circular cross section that is parallel to its base.

In Geometry, cross-section is the shape made when a solid is cut through by a plane. The cross section of a circular cylinder is a circle. * * * * * There are also cross-sections that are ellipses or rectangles.

because the cylinder has a circular base and a triangular prism has a triangular base so they are both basic shapes.

Every solid. All you need is the intersection with a plane parallel to the base.

A sphere is.

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Cylinder

All cross sections of a square pyramid that are parallel to the base are squares

Both, a cylinder and a prism have two faces (bases) at either end. These are parallel and identical. A plane that is parallel to these bases will cut the cylinder (or prism) in identical cross sections.

A cylinder has a circular cross section that is parallel to its base.

The answer depends on the angle at which the axis of the cone intersects the cross-sections.

In Geometry, cross-section is the shape made when a solid is cut through by a plane. The cross section of a circular cylinder is a circle. * * * * * There are also cross-sections that are ellipses or rectangles.

Every solid. All you need is the intersection with a plane parallel to the base.

because the cylinder has a circular base and a triangular prism has a triangular base so they are both basic shapes.

Circle: If the knife is perpendicular to the axis of the cone.Ellipse: If the knife is between (perpendicular to the axis of the cone) and (parallel to the side of the cone).Parabola: If the knife is between (parallel to the side of the cone) and (parallel to the axis of the cone).Hyperbola: If the knife is parallel to the axis of the cone.Triangle: If the knife is perpendicular to the base of the cone.Point: If the knife is parallel to the base the cone and through the apex

A sphere is.

The cross section of cylinder along its length (parallel to the axis of symmetry has the shape of a rectangle.

A square pyramid is.

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