Cross Sections
Cross Section
A 2 dimension shape created by the intersection of a plane and a 3 dimensional figure.
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.
Rectangualr Prism
A 3D rectangle. Think a stick of butter.
Vertical Plane
A plane perpendicular to the base
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
A right rectangular prism is sliced by a vertical plane, what is the resulting cross section?
Square or rectangle depending on dimensions of prism. EX. If it was a stick of butter the cross section would be a square.
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
A square pyramid is sliced by a vertical plane and passes through the vertex, what is the resulting cross section?
Triangle
Horizontal Plane
A plane parallel to the figures base
A cone is sliced in such a way that the plane cuts in a direction parallel to the base, what is the resulting cross section?
Circle
A cylinder is sliced by a horizontal plane what is the resulting cross section?
Circle
The only cross section of a sphere. Varies in size but not in shape.
Circle