# How do you find the cross section of a shape?

## How do you find the cross section of a shape?

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 the shape of the cross section formed by intersecting a cube with a vertical plane that passes through opposite edges of the cube?**

triangle

ANSWER: a triangle; Three faces of the cube meet to form the vertex, so the cross section is a two-dimensional figure with three sides.

### What is cross section of shape?

A cross-section is a shape that is yielded from a solid (eg. cone, cylinder, sphere) when cut by a plane. For example, a cylinder-shaped object is cut by a plane parallel to its base; then the resultant cross-section will be a circle.

**What is cross section of a solid?**

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.

## Can the cross section of a solid ever be a point?

If the cutting plane is perpendicular to a line joining the centers of two opposite faces of the cube, the cross-section will be a square, however, if the cutting plane is perpendicular to a diagonal of the cube joining opposite vertices, the cross-section can be either a point, a triangle or a hexagon.

**What is a cross section of a cube?**

A cross section is the face you get when you make one slice through an object. Below is a sample slice through a cube, showing one of the cross sections you can get. The cross section cannot contain any piece of the original face; it all comes from “inside” the solid.

### What is uniform cross section?

Uniform means identical, or exactly the same, and a cross section is when you cut an object in half and reveal the shape inside. So a uniform cross section is when you cut an object straight through, and the resulting shape inside matches the bases, or ends, of the shape exactly.

**Which is possible cross section of a cube?**

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. This is a cross-section of a piece of celery.

## When do you draw a cross section in geometry?

In geometry it is the shape made when a solid is cut through by a plane. The cross section of this circular cylinder is a circle. We don’t draw the rest of the object, just the shape made when you cut through.

**When do you make a slice through an object is a cross section?**

A cross section is the face you get when you make one slice through an object. Below is a sample slice through a cube, showing one of the cross sections you can get. The polygon formed by the slice is the cross section. The cross section cannot contain any piece of the original face; it all comes from “inside” the solid.

### What to use to make a cross section?

To use clay solids and dental floss to derive your answers, mold a cube from the clay. Then use the dental floss or piano wire to make a straight slice through the cube, creating a cross section. When making a cut, you may end up with “bent” cuts, but what you want to try to make is a planar slice.