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?
- All faces must be rectangles.
- It must have two congruent and parallel faces, and the other faces must be parallelograms. (correct)
- It must have a circular base and a curved lateral surface.
- All edges must be of equal length.
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.
Match the formula with what it calculates for a prism:
Match the formula with what it calculates for a prism:
Flashcards
Polyhedron
Polyhedron
A three-dimensional shape made of flat surfaces called polygons.
Prism
Prism
A polyhedron with two congruent and parallel bases, and other faces that are parallelograms.
Base of a prism
Base of a prism
The congruent and parallel faces of a prism.
Right prism
Right prism
Signup and view all the flashcards
Lateral area of a prism
Lateral area of a prism
Signup and view all the flashcards
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)
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
