Podcast
Questions and Answers
Which of the following is a necessary condition for a three-dimensional figure to be classified as a prism?
Which of the following is a necessary condition for a three-dimensional figure to be classified as a prism?
In a right prism, the lateral edges are parallel to the base.
In a right prism, the lateral edges are parallel to the base.
False (B)
What does 'B' represent in the volume formula, $V = Bh$, for a prism?
What does 'B' represent in the volume formula, $V = Bh$, for a prism?
Base area
The perpendicular distance between the polygonal bases of a prism is called the ______ or height.
The perpendicular distance between the polygonal bases of a prism is called the ______ or height.
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Match the formula with what it calculates for a prism:
Match the formula with what it calculates for a prism:
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Study Notes
Polyhedrons and Prisms
- A polyhedron is a three-dimensional shape made of polygonal surfaces joined along their edges.
- A prism is a type of polyhedron with specific characteristics:
- Two congruent and parallel faces (called bases)
- Other faces are parallelograms
- Lateral faces intersect to form lateral edges
Parts of a Prism
- Base: Congruent and parallel faces, shaped like polygons
- Base Edge: Sides of the polygonal bases.
- Lateral Face: The other faces of the prism that connect the bases
- Lateral Edge: Parallel and congruent lines where the lateral faces meet.
- Altitude (or Height): Perpendicular distance between the base planes 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 Prisms
- A right prism whose 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)
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Description
Explore the fascinating world of polyhedrons and prisms in this quiz. Learn about the characteristics of polyhedrons, the parts of a prism, and the differences between right and oblique prisms. Test your knowledge with various questions to solidify your understanding of these geometric shapes.
