Chapter 12 Flashcards
(28 cards)
polyhedron
a solid that is bounded by polygons, called faces, that enclose a single region of space
face of a polyhedron
the polygons that bound the polyhedron
edge of a polyhedron
a line segment formed by the intersection of two faces of a polyhedron
vertex of a polyhedron
a point where three or more edges meet
octahedron
a polyhedron with 8 faces
dodecahedron
a polyhedron with 12 faces
icosahedron
a polyhedron with 20 faces
convex
if any two points on its surface can be connected by a line segment that lies entirely inside or entirely on the polyhedron
regular polyhedron
a polyhedron where all of the faces are congruent regular polygons and the same number of faces meet at each vertex in exactly the same way
regular octahedron
a regular polyhedron with 8 triangular faces
surface of a polyhedron
consists of all points on its faces
regular tetrahedron
a regular polyhedron with 4 triangular faces
prism
a polyhedron that has 2 congruent parallel faces called bases
lateral faces
the faces of a polyhedron that are parallelograms formed by connecting corresponding vertices of the bases
lateral edges
the segments connecting the corresponding vertices of a polyhedron
altitude/height of a prism
perpendicular distance between the bases
right prism
each lateral edge is perpendicular to both bases
oblique prism
prism that has lateral edges that are not perpendicular to the bases
slant height
length of the oblique lateral edges
surface area of a polyhedron
sum of the areas of all faces
surface area of a right prism thm
the surface area, SA, of a right prism is SA=2B+Ph
where B=area of base, P=perimeter of base, and h=height of prism
circular cylinder
a solid with 2 congruent bases that lie in parallel planes
right cylinder
a cylinder where the segment joining the centers of its bases is perpendicular to its bases
surface area of a right cylinder thm
the surfaces area, SA, of a right cylinder is SA=2B+Ch
where B=area of base, C=circumference of base, and h=height of cylinder
