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geometry of 3D

Geometry of 3D Shapes

cone edges = 0 faces = 1 vertices = 1
pyramid edges = 6 faces = 4 vertices = 4
cylinder edges = 0 faces = 2 vertices = 0
sphere edges = 0 faces = 0 vertices = 0
rectangular prism edges = 8 faces = 5 vertices = 5
cube edges = 12 faces = 6 vertices = 8
polyhedron a solid bounded by polygons that enclose a single region of space
faces polygons that make the sides of a polyhedron
edge a line segment formed by the intersection of two faces
vertext a point where three or more edges meet
regular polyhedron all faces are congruent regular polygons
convex any two points can be connected by a segment that lies entirely inside or on the polyhedron
platonic solids the five regular polyhedrons: tetrahedron, cube, octahedron, dodecahedron, icosahedron
prism a polyhedron with two congruent and parallel bases
lateral faces the faces on a prism that aren't bases
lateral edges the segments connecting the vertices of the base (perimeter of the base)
surface area (of a polyhedron) the sum of all the areas of its faces
lateral area (of a polyhedron) sum of all the areas of its lateral faces
net two dimensional representation of a polyhedron
right prism each lateral edge is perpendicular to both bases
oblique prism lateral edges are not perpendicular to the bases
formula: surface area of a pyramid B + 1/2(Ph)
formula: surface area of a prism 2B + Ph
formula: surface area of a cone πr² + πrL
formula: surface area of a cylinder 2πr² + 2πrh
cone a solid figure that has a circular base and one vertex
cylinder A solid figure with two congruent and parallel circular bases
sphere an object with all points on its surface equally distant from its center; a ball or globe
faces the flat surfaces of a 3-D figure
edges the intersection of faces of a 3-D figure
vertices a corner of a polygon