What is the definition of cross section in math?

A cross section of a solid is a plane figure obtained by the intersection of that solid with a plane. The cross section of an object therefore represents an infinitesimal “slice” of a solid, and may be different depending on the orientation of the slicing plane.

What is a cross section easy definition?

1a : a cutting or piece of something cut off at right angles to an axis also : a representation of such a cutting. b : section sense 3b. 2 : a measure of the probability of an encounter between particles such as will result in a specified effect (such as scattering or capture)

What is an example of cross section?

The definition of a cross section is a section of something that has been cut down the middle to show what is inside. An example of a cross section is what you see on the inside when you cut a layered sandwich in half.

How do you find the cross section in math?

The volume of any rectangular solid, including a cube, is the area of its base (length times width) multiplied by its height: V = l × w × h. Therefore, if a cross section is parallel to the top or bottom of the solid, the area of the cross-section is l × w.

What is a cross-section diagram?

A cross-section shows the shape of a feature (such as a mountain) viewed from the side, as if cut through with a knife. Cross-sections are constructed using the contour lines on a topographic map.

What is a cross-section view?

The cross-sectional area ( ) of an object when viewed from a particular angle is the total area of the orthographic projection of the object from that angle. For example, a cylinder of height h and radius r has when viewed along its central axis, and when viewed from an orthogonal direction.

What is a cross-section of people?

If you refer to a cross-section of particular things or people, you mean a group of them that you think is typical or representative of all of them. I was surprised at the cross-section of people there.

How do you describe a cross-section?

A cross section is the shape we get when cutting straight through an object. The cross section of this object is a triangle. It is like a view into the inside of something made by cutting through it.

What is cross-section area?

The cross-sectional area is the area of a two-dimensional shape that is obtained when a three-dimensional object – such as a cylinder – is sliced perpendicular to some specified axis at a point. For example, the cross-section of a cylinder – when sliced parallel to its base – is a circle.

What are the steps in drawing a cross-section?

Making a Cross-Section

  1. Take a thin strip of paper and place it along the cross-section line.
  2. Take that strip of paper and put it on a fresh piece of paper.
  3. Draw dots corresponding to the elevations along the strip of paper representing the cross-section line.
  4. Draw a smooth line connecting the dots.

How do you describe a cross section?

What is a cross section plan?

A cross section, also simply called a section, represents a vertical plane cut through the object, in the same way as a floor plan is a horizontal section viewed from the top. A sectional elevation is a combination of a cross section, with elevations of other parts of the building seen beyond the section plane.

What does cross section mean?

Cross section. In geometry, a cross section is the intersection of a figure in a 2-dimensional space with a line, or of a body in a 3-dimensional space with a plane, etc.

What is an example of a cross section?

The definition of a cross section is a section of something that has been cut down the middle to show what is inside. An example of a cross section is what you see on the inside when you cut a layered sandwich in half. YourDictionary definition and usage example. “Cross section.”.

What is a cross section in geometry?

Cross section (geometry) Jump to navigation Jump to search. A cross-section view of a compression seal. In geometry and science, a cross section is the non-empty intersection of a solid body in three-dimensional space with a plane, or the analog in higher-dimensional spaces.

What is a horizontal cross section?

A horizontal cross-section is obtained when the plane that passes through the solid object is parallel to its base. On the other hand, a vertical cross section is found when the intersecting plane is perpendicular to the base of the solid. These are known as a parallel cross-section and perpendicular cross section.