Chapter 12 Vocabulary - Polyhedra

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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


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