Polyhedron quiz
vertex of a polyhedron
A point where three or more edges of a polyhedron meet.
net
An arrangement of two-dimensional figures that can be folded to form a polyhedron
edge
The line segment where two faces of a solid figure meet.
sphere
The set of all points that are the same distance from a given point
surface area
The sum of the areas of all of the faces of a three-dimensional figure.
Euler's formula for polyhedra
V + F - V = 2
polyhedron
a 3D figure made from polygons with no gaps and no overlaps
regular polyhedron
a convex polyhedron that uses only one type of polygon for all of its faces; that polygon must be regular. aka Platonic solid
semiregular polyhedron
a convex polyhedron that uses only regular polygons for its faces; each vertex configuration must be identical. aka Archimedean solid
pyramid
a polyhedron having a polygonal base and triangular sides with a common vertex
octahedron
a polyhedron with eight faces. a regular octahedron is one of the platonic solids
pentahedron
a polyhedron with five faces
tetrahedron
a polyhedron with four faces
hexahedron
a polyhedron with six faces. a regular hexahedron is sometimes called a cube
dodecahedron
a polyhedron with twelve faces. a regular dodecagon is one of the platonic solids
icosahedron
a polyhedron with twenty faces. a regular icosahedron is one of the platonic solids
prism
a polyhedron with two congruent and parallel faces (the bases) and whose lateral faces are parallelograms
antiprism
a polyhedron with two parallel, congruent bases and triangular lateral faces
frustum
a polyhedron with two similar parallel bases and trapezoidal lateral faces
right prism
a prism with rectangular lateral faces
right pyramid
a pyramid with isosceles triangle lateral faces
cube
a regular hexahedron. a square prism with square lateral faces
cone
a shape whose base is a circle and whose sides taper linearly up to a point
cylinder
a surface generated by rotating a parallel line segment around a fixed line
hemisphere
half of a sphere form through bisection by a plane
base of a prism
one of the parallel, congruent faces of the prism
lateral face of a prism
one of the parallelograms that are not the bases of a prism
face
one of the polygons that forms a polyhedron
Platonic Solids
the five convex polyhedra formed by exactly one type of regular polygon, aka: regular polyhedra
slant height
the height of a lateral face of a pyramid or cone
base of a pyramid
the only face of a pyramid that shares an edge with every other face
Archimedean Solids
the thirteen convex polyhedra formed by more than one type of regular polygon, with each vertex configuration exactly the same, aka: semi-regular polyhedra
