Cross Sections of Solids and Classifying Solids

These flashcards cover the key concepts related to the classification of solids and the description of cross sections as discussed in the lecture.

What is a three-dimensional figure or solid defined as?

A solid is bounded by flat or curved surfaces that enclose a single region of space.

What is a polyhedron?

A solid that is bounded by polygons, called faces.

What is an edge of a polyhedron?

A line segment formed by the intersection of two faces.

What is a vertex of a polyhedron?

A point where three or more edges meet.

What is the plural of polyhedron?

Polyhedra or polyhedrons.

What defines a prism?

A solid with two congruent polygonal bases in parallel planes.

What shapes can be the base of a pyramid?

The base of a pyramid is a polygon.

Give an example of a polyhedron. What are its bases?

Rectangular prism; its bases are rectangles.

What is the result of a plane slicing through a solid called?

A cross section.

What is an example of a cross section shape from a cube?

Square, triangle, or rectangle.

What is the difference between polyhedra and non-polyhedra?

Polyhedra are made from polygons (all straight sides), while non-polyhedra are not made from polygons (they have curves).

What shape is formed by a plane cutting through a solid if the intersection is a circle?

The solid could be a cylinder or a sphere.

List three different cross section shapes that a solid could create.

Square, triangle, rectangle.