a circle
No, not all cross-section shapes that are parallel or perpendicular to one of the bases of a solid are necessarily the same. The shape of the cross-section depends on the geometry of the solid. For example, in a cylinder, the cross-sections parallel to the bases are circular, while in a prism, they may be polygonal. Each solid can produce different cross-sectional shapes based on its specific dimensions and angles.
A cross section parallel to the base of a prism retains the same shape as the base itself. This is because prisms have uniform cross sections along their height, meaning the dimensions and angles of the base are consistent throughout. Therefore, if the base is a triangle, rectangle, or any other shape, the cross section will also be that same shape.
A Uniform Cross Section is the cross section of the solid, parallel to base, such that the resulting figure has the same shape and size as that of the base of the figure.More about Uniform Cross SectionSolids like pyramids and cones have slant heights and hence do not have uniform cross section.Examples of Uniform Cross SectionThe uniform cross section of the given prism is a square.The uniform cross section of the given cylinder is a circle.In short to say, uniform cross-section are when you dissect a 3D solid and you get all same shape (uniform).
A cylinder is a three dimensional shape with a uniform circular cross section and a finite length.
The cross section of cylinder along its length (parallel to the axis of symmetry has the shape of a rectangle.
The shape of a transverse cross section of a cylinder is a circle.
You cannot have a 2d cylinder. The 2d cross section will depend on the plane of the cross section.
a circle
A square.
Cylinder
a rectangle.
A square.
A cut through a right circular cylinder that is perpendicular to its altitude yields a circular cross-section. A right circular cylinder that is cut on a plane not perpendicular to its altitude but also but also not parallel to its altitude will yield an ellipse whose minor axis is the diameter of the cylinder. Trivial cases of a set of parallel lines, a single line, or the empty set occur when the cut is parallel to the altitude, externally tangent to the cylinder, or does not intersect the cylinder, respectively.
If the cylinder is standing on its flat face, the horizontal cross section is a circle. Otherwise, it is a line or a rectangle.
An ellipse or a rectangle, depending on how you cut it.
A Uniform Cross Section is the cross section of the solid, parallel to base, such that the resulting figure has the same shape and size as that of the base of the figure.More about Uniform Cross SectionSolids like pyramids and cones have slant heights and hence do not have uniform cross section.Examples of Uniform Cross SectionThe uniform cross section of the given prism is a square.The uniform cross section of the given cylinder is a circle.In short to say, uniform cross-section are when you dissect a 3D solid and you get all same shape (uniform).