Podcast
Questions and Answers
What defines the altitude of a regular pyramid?
What defines the altitude of a regular pyramid?
- The highest point of the lateral faces
- The distance between the lateral edges
- The distance between the apex and the plane base (correct)
- The height of the polygonal base
Which statements are true regarding the lateral faces of a regular pyramid?
Which statements are true regarding the lateral faces of a regular pyramid?
- They do not meet at a common vertex
- They can vary in shape and size
- They are congruent isosceles triangles (correct)
- They are always triangles with unequal sides
How are the slant height and lateral face altitude of a regular pyramid related?
How are the slant height and lateral face altitude of a regular pyramid related?
- They are equal in measurement (correct)
- They are independent of each other
- The slant height is less than the face altitude
- The slant height is always larger than the face altitude
In the context of pyramids, what role does the axis play?
In the context of pyramids, what role does the axis play?
What is true about the triangular faces of a prism with a polygonal base?
What is true about the triangular faces of a prism with a polygonal base?
What shape is formed by the lateral edges of a prism?
What shape is formed by the lateral edges of a prism?
What is the property of a sphere regarding its plane sections?
What is the property of a sphere regarding its plane sections?
What defines the altitude of a cylinder?
What defines the altitude of a cylinder?
In a pyramid, which face is referred to as the base?
In a pyramid, which face is referred to as the base?
What is true about the lateral surface of a cylinder?
What is true about the lateral surface of a cylinder?
When a plane cuts a sphere along its diameter, what is the resulting circular section called?
When a plane cuts a sphere along its diameter, what is the resulting circular section called?
What describes a right section of a cone?
What describes a right section of a cone?
Which of the following statements regarding a right prism is accurate?
Which of the following statements regarding a right prism is accurate?
Flashcards
Pyramid
Pyramid
A 3D shape with a polygon base and triangular faces meeting at a common vertex (apex).
Pyramid Altitude
Pyramid Altitude
The perpendicular distance from the apex to the base.
Regular Pyramid
Regular Pyramid
A pyramid with a regular polygon base and equal lateral edges and faces.
Pyramid Lateral Face
Pyramid Lateral Face
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Pyramid Slant Height
Pyramid Slant Height
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Prism
Prism
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Right Prism
Right Prism
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Cylinder
Cylinder
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Sphere
Sphere
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Great Circle
Great Circle
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Altitude of a Prism
Altitude of a Prism
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Right Section of a Cone
Right Section of a Cone
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Study Notes
PRISM
- A polyhedron with two parallel, equal polygons as bases and other faces as parallelograms
- Bases are equal polygons
- Lateral edges are parallel and equal
- Altitude is the perpendicular distance between the bases
- Right prism: lateral edges perpendicular to the bases, creating rectangular lateral faces
CYLINDER
- A solid bounded by a closed cylindrical surface and two parallel planes (bases)
- Lateral surface is the cylindrical surface
- Bases are equal
- Altitude is the perpendicular distance between the bases
- Every section parallel to the base has an area equal to the base area
CONE
- Altitude is the perpendicular distance from the vertex to the base plane
- Axis joins vertex to the center of the base
- A right section is a cross-section perpendicular to the axis, cutting all elements
SPHERE
- A solid such that all points on the surface are equidistant from a fixed point (center)
- Every plane section is a circle
- A great circle has a diameter equal to the sphere's diameter
- All great circles are equal
- Great circles bisect the sphere
PYRAMID
- A polyhedron with a polygonal base and triangular lateral faces with a common vertex (apex)
- Triangular faces are called lateral faces
- Altitude is the perpendicular distance from the apex to the base
- Regular right pyramid has a regular polygon base and equal lateral edges; congruent isosceles triangular lateral faces; equal altitudes of the lateral faces; slant height is the altitude of a lateral face
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