Term | Definition |
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 |