Chapter 9 Flashcards
What is a pyramid?
A pyramid is a solid in which one of the faces is a polygonal base and the other faces are triangles joined to the edges of the base.
What are the corner points of a pyramid called?
The corner points of a pyramid are known as vertices (singular: vertex).
What is the apex of a pyramid?
The apex is the vertex where all the slanted faces meet, which is opposite the base.
How is a pyramid named?
A pyramid is named after its polygonal base.
What is a right pyramid?
A right pyramid is one where the apex is vertically above the center of the base.
What is a regular pyramid?
A regular pyramid is a right pyramid with a regular polygonal base.
What is a regular polygon?
A regular polygon is a polygon with all sides equal and all angles equal.
Can a rectangular pyramid be a regular pyramid?
No, a rectangular pyramid can never be a regular pyramid because a regular quadrilateral must be a square.
Are all square pyramids regular pyramids?
Not all square pyramids are regular pyramids.
What is the slant height of a pyramid?
The distance from the apex to the midpoint of an edge (or side) of the base.
What is the height of a pyramid?
The perpendicular distance from the apex to the base of the pyramid.
What are slant edges?
The edges that join the apex to the vertices (or corner points) of the base.
What is the apex of a pyramid?
The top point of the pyramid where all slant edges meet.
What is the slant height of a pyramid?
The distance from the apex to the midpoint of an edge (or side) of the base.
What is the height of a pyramid?
The perpendicular distance from the apex to the base of the pyramid.
What are slant edges?
The edges that join the apex to the vertices (or corner points) of the base.
What is the apex of a pyramid?
The top point of the pyramid where all slant edges meet.
What is the formula for the volume of a pyramid?
Volume of pyramid = (1/3) x base area x height
How is the volume of a prism related to a pyramid?
The volume of a pyramid is (1/3) x volume of the corresponding prism.
What is the formula for the volume of a prism?
Volume of prism = area of cross section x height
What is the formula for the volume of a pyramid?
Volume of pyramid = (1/3) x base area x height
How is the volume of a prism related to a pyramid?
The volume of a pyramid is (1/3) x volume of the corresponding prism.
What is the formula for the volume of a prism?
Volume of prism = area of cross section x height
What is a cone?
A cone is a solid in which the base is bounded by a simple closed curve and the surface tapers into a point called the apex, which is opposite the base.
