Cross Sections

What is the greatest number of sides that will result from a cross section of a rectangular prism?

6

Cross Section

A 2 dimension shape created by the intersection of a plane and a 3 dimensional figure. Specifically it is the area in which the plane and the figure meet.

Plane

A 2 dimensional figure with no boundaries. Think of a piece of paper, then extend all sides until you can't see them any more.

Cube

A 3D figure with 6 square sides. Think dice.

Cone

A 3D figure with a circular base, rounded sides that terminate at a vertex at the other end. Think ice cream cone.

Square Pyramid

A 3D figure with a square base and 4 triangular sides that terminate at a vertex. Think Egyptian pyramid.

Sphere

A 3D figure with no faces, just a continuous curved edge. Think an orange.

Cylinder

A 3D figure with parallel bases and a rounded edges. Think can of soup.

Rectangular Prism

A 3D rectangle. Think a stick of butter.

Horizontal Plane

A plane parallel to the figures base

Vertical Plane

A plane perpendicular to the base

The only cross section of a sphere. Varies in size but not in shape.

Circle

Which of the following is not a cross section of a rectangular prism? Rectangle, triangle, trapezoid, ellipse

Ellipse

A cone is sliced with an angled or diagonal without going through the base or the vertex, what is the resulting cross section?

Ellipse (0val)

A right rectangular prism is sliced in a way such that the plane passes through all six faces of the prism, what is the resulting cross section?

Hexagon

A right rectangular prism is sliced in a way such that the plane passes through the prism at a slant. what is the resulting cross section?

Paralleogram

A square pyramid is sliced in such a way that the plane passes through all five faces of the pyramid, what is the resulting cross section?

Pentagon

A cylinder is sliced in such a way that the plane cuts in a direction perpendicular to the base,what is the resulting cross section?

Rectangle

A right rectangular prism (with square base) is sliced such that the plane cuts in a direction parallel to the base, what is the resulting cross section?

Square

What is the greatest number of sides a cross section can have?

The greatest number of sides a cross section can have is determined by the number of faces the 3D figure has. EX A triangular prism has 4 faces. The greatest number of sides that a resulting cross section can have is 4...so a resulting cross section could not be a pentagon, because it has 5 sides.

A square pyramid is sliced in such a way that the plane cuts in a direction perpendicular to the base but does not pass through the vertex, what is the resulting cross section?

Trapezoid

A cone is sliced by a vertical plane and passes through the vertex, what is the resulting cross section?

Triangle