16 terms

Bases

Every prism has two congruent faces, its bases, which lie in parallel plans. The line segments that connect the corresponding vertices of these faces are parallel to each other.

Prism

A solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.

Lateral Faces

The faces that join the bases of a solid are called Lateral Faces.

Lateral Edges

The edges in which the lateral faces intersect one another

Right Prism

If the lateral edges of a prism are perpendicular to the planes of its bases, it is a right prism

Oblique Prism

If the lateral edges of a prism are oblique to the planes of its bases, the prism is an oblique prism

Net

In geometry the net of a polyhedron is an arrangement of edge-joined polygons in the plane which can be folded (along edges) to become the faces of the polyhedron.

Lateral Area

The Lateral area of a prism is the sum of the areas of its lateral faces

Total Area

The total area of a prism is the sum of its lateral area and the areas of its bases.

Cross Section

A cross section of a geometric solid is the intersection of a plane and the solid

Altitude

An altitude of a prism is a line segment that connects the planes of its bases and that is perpendicular to both of them.

Volume

The volume of an object is the amount of space that it occupies

Postulate 13

Consider two geometric solids and a plane. If every plane parallel to this plane that intersects one of the solids also intersects the other so that the resulting cross sections have equal areas, then the two solids have equal volumes.

Postulate 14

The Volume of any prism is the product of the area of its base and its altitude: V=Bh

Corollary 1 to Postulate 14

The volume of a rectangular solid is the product of its length, width and height: V=lwh

Corollary 2 to Postulate 15

The volume of a cube is the cube of its edge: V=E^3