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Q: What is a 3 dimensional geometric figure whose cross section is constant in planes drawn perpendicular to its axis called?

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Not sure what the question means, unless it is meant to refer to 3-dimensional shapes. If so, some answers are: a cylinder, a cone, a section of a sphere, an ellipsoid with two equal axes intersected by a plane defined by those axes, a symmetric paraboloid intersected by a plane perpendicular to its axis of symmetry, a torus (doughnut) intersected by a plane perpendicular to its "main" radius.

It is a rectangle.

Cross Section

A perimeter is normally defined for 2-dimensional shapes and not three dimensional ones. A cube has 12 edges. So, if the perimeter is 48 cm, each edge must be 48/12 = 4 cm. The cross section of a cube depends on the angle of the plane intersecting the cube and, if it is not perpendicular to the cube, can be triangular, parallelogram or hexagonal. Assuming the plane is at right angles to the cube, the cross section is a square with sides of 4 cm. So its area is 16 cm2

It is a section of a right circular cone by a plane that is parallel to one generating line of the cone.

Related questions

The cross section of a circle is a circle. A circle is defined as a plane figure (i.e. 2 dimensional object) with a constant radius in both dimensions. Since a cross section is, by definition 2 dimensional, a circle's cross section is the circle itself.

trapezoid

A cross section is a two-dimensional representation of a three-dimensional object that is obtained by cutting or slicing the object perpendicular to a specified axis. It provides a view of the internal structure or composition of the object.

A solid oval is called an ellipsoid. It is a three-dimensional shape that resembles a stretched circle. It has an oval cross-section in all planes perpendicular to its main axis.

Not sure what the question means, unless it is meant to refer to 3-dimensional shapes. If so, some answers are: a cylinder, a cone, a section of a sphere, an ellipsoid with two equal axes intersected by a plane defined by those axes, a symmetric paraboloid intersected by a plane perpendicular to its axis of symmetry, a torus (doughnut) intersected by a plane perpendicular to its "main" radius.

It is a rectangle.

When a 3-dimensional (solid) object is cut by a plane, the 2-dimensional shape made where the solid object and the plane meet is the cross section.

Cross Section

A triangle does not have a cross-section but the perpendicular line of a right angle triangle meets the base at 90 degrees.

It will be a rectangle

cross section

This is a technique used by civil and mechanical engineers to calculate the cross section of a geometric figure. It is used to determine the Yield Moment also called My.