The shape of the cross section depends on the 3D object being sliced. For example, if you slice through a cylinder horizontally, the cross section would be a circle. If you cut through a cube diagonally, the cross section could be a triangle or a rectangle, depending on the angle of the cut. Thus, the specific 2D shape observed in the cross section varies based on the object's geometry and the orientation of the cut.
You would cut off a corner.
Make a cut that goes diagonally across three adjoining faces of the cube. If a side of the cube is 's'. Each side of the triangle will square_root(2)*s.
A circle.
When a sphere is cut with a vertical angled plane, the cross-section will be an ellipse. If the sphere is then cut by a horizontal plane, the cross-section will be a circle. Thus, the combination of these two cuts results in an elliptical cross-section from the angled cut and circular cross-sections from the horizontal cuts at various heights.
The shape of the cross section depends on the 3D object being sliced. For example, if you slice through a cylinder horizontally, the cross section would be a circle. If you cut through a cube diagonally, the cross section could be a triangle or a rectangle, depending on the angle of the cut. Thus, the specific 2D shape observed in the cross section varies based on the object's geometry and the orientation of the cut.
Rectangle
You would cut off a corner.
Make a cut that goes diagonally across three adjoining faces of the cube. If a side of the cube is 's'. Each side of the triangle will square_root(2)*s.
Imagine that you wanted to cut a globe or a sphere exactly in half. When you looked at the cut you would see an exact circle on both pieces. This area would be the cross-section. You could work out the area of this cross-section by using A = Pi X r squared. But be careful. Don't assume that the cross sectional area is the same no matter where you cut. If you cut the globe at some other point, say near to the edge, the cross-section (the circular area that you would see) would be a lot smaller. You would come across a uniform cross-section if you cut a cable. No matter where you cut the cable the cross-section should be roughly the same. Also cross section doesn't have to be circular. The cross-section you get really depends on the original shape you are dealing with. If you cut a cube in half, you would get a square cross-section. So I guess you could imagine the term as applying to cutting across (hence cross) something to reveal 2 sections (hence section).
Set cube with front and back parallel and sides perpendicular to you. Cut diagonally though the flat top and bottom.
A circle.
When a sphere is cut with a vertical angled plane, the cross-section will be an ellipse. If the sphere is then cut by a horizontal plane, the cross-section will be a circle. Thus, the combination of these two cuts results in an elliptical cross-section from the angled cut and circular cross-sections from the horizontal cuts at various heights.
A cross section imagines what something would look like if you cut it in half (or more or less in half) and looked at the surface that was exposed by the cut.
a square
A cross section imagines what something would look like if you cut it in half (or more or less in half) and looked at the surface that was exposed by the cut.
A cross section imagines what something would look like if you cut it in half (or more or less in half) and looked at the surface that was exposed by the cut.