Chapter 12 Vocabulary - Polyhedra
net
2D pattern that you can fold to form a 3D figure
face
A flat surface of a polyhedron.
prism
A polyhedron that has two congruent polygon-shaped bases and other faces that are all parallelograms.
net
An arrangement of two-dimensional figures that can be folded to form a polyhedron.
vertex
On an angle or polygon, the point where two sides intersect.
edge
The line segment along which two faces of a polyhedron intersect.
volume
The number of cubic units needed to fill a given space. Volume is the area of the base times the height: V = Bh
surface area
The sum of the areas of the faces, or surfaces, of a three-dimensional figure. S = 2lw + 2lh + 2wh
Euler's Formula
The sum of the number of faces (F) and vertices (V) of a polyhedron is two more than the number of its edges F+V=E+2
composite space figure
a 3D figure that is the combination of two or more simpler figures
polyhedron
a 3D figure whose surfaces are polygons
hemisphere
a great circle divides a sphere into two __________
vertex
a point where three or more edges intersect
pyramid
a polyhedron in which one face (the base) can be any polygon and the other faces (lateral faces) are triangles that meet at a common vertex (vertex of the pyramid)
pyramid
a polyhedron with a polygon base and triangular sides that all meet at a common vertex.
prism
a polyhedron with two congruent parallel faces called bases
regular pyramid
a pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangles
edge
a segment that is formed by the intersection of two faces
cylinder
a solid that has 2 congruent parallel bases that are circles
cone
a solid that has one circular base and a vertex not in the plane of the circle, and a curved lateral surface
face
each polygon is a face of the polyhedron
height of cone
length of the cone's altitude
base
parallel faces
slant height of cone
the distance from the vertex to a point on the edge of the base
height of prism
the length of an altitude
slant height of a pyramid
the length of the altitude of a lateral face of the pyramid
height of pyramid
the length of the pyramid's altitude
sphere
the set of all points in space equidistant from a given point called the center
lateral area
the sum of the areas of the lateral faces
surface area
the sum of the lateral area and the area of the two bases
great circle
when a plane and a sphere intersect in more than one point, the intersection is a circle. If the center of the circle is also the center of the sphere