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?
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.