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