Polyhedrons and Prisms Overview

Which of the following is NOT a defining characteristic of a prism?

In a prism, what is a lateral edge?

What does 'B' represent in the formula for the volume of a prism, $V = Bh$?

For a right prism, what can be said about the lateral edges in relation to the base?

If a prism has a lateral area of 60 square units and the area of each base is 20 square units, what is the total area of the prism?

Polyhedrons and Prisms

A polyhedron is a three-dimensional figure composed of polygonal surfaces joined along their edges, enclosing a volume of space.
A prism is a special type of polyhedron with specific properties:
- It has two congruent and parallel faces (called bases).
- All other faces are parallelograms.

Parts of a Prism

Base: Congruent, parallel faces that are polygons.
Base edge: Sides of the polygonal bases.
Lateral face: The faces other than the bases.
Lateral edge: Parallel and congruent lines where lateral faces intersect.
Altitude (or height): Perpendicular distance between the polygonal bases (or the planes containing the bases).

Right vs. Oblique Prisms

Right prism: Lateral edges are perpendicular to the bases.
Oblique prism: Lateral edges are not perpendicular to the bases.
Regular prism: The bases are regular polygons.

Formulas

Lateral Area (L): L = Ph (where P = perimeter of the base and h = height)
Total Area (T): T = L + 2B (where B = area of the base)
Volume (V): V = Bh (where B = area of the base and h = height)

Explore the fascinating world of polyhedrons and prisms in this quiz. Learn about their definitions, components, and the differences between right and oblique prisms. Test your knowledge of formulas related to their areas and volumes as well.