Intersector

Place a plane through three points on the edges of a cube, prism or pyramid and see the cross-section in 3D, with its shape and area.

Open the app

Free, runs in the browser, no sign-in or installation.

Subject
Mathematics
Area
Geometry
Level
Secondary school
Cross-section of a cube by the plane through A₁, B and C₁, and the line AC₁

What you can do

  • Choose a cube, a cuboid, a regular triangular, pentagonal or hexagonal prism, an oblique prism, a tetrahedron or a regular square pyramid.
  • Add up to three planes (three points each) and five lines (two points each), with points anywhere on an edge or at halves, thirds or quarters.
  • The app shows each section's shape and exact area in terms of a², each line's length inside the solid, and where lines and planes meet.
  • Rotate the solid by dragging or with the arrow keys and zoom in or out; hidden edges and hidden parts of a section are dashed.
  • Change the colour of any line or plane and save the view as a PNG with a white or transparent background.

More apps: Geometry

All apps →