Solids and Volume Concepts

These flashcards cover important vocabulary and concepts related to solids, volume, and properties of geometric figures as discussed in the lecture.

Prism

A polyhedron with two congruent polygonal faces (bases) parallel to each other and lateral faces that are parallelograms.

Volume

The measure of three-dimensional space occupied by an object, typically measured in cubic units.

Face

A flat surface on a three-dimensional geometric figure.

Edge

A line segment where two faces of a solid meet.

Vertex

A point where two or more edges meet.

Cubic Unit

A unit of measure for volume, representing a cube with each side of one unit.

Surface Area

The total area of the outer surface of a three-dimensional shape.

Euler’s Formula

For any convex polyhedron, the formula is V + F - E = 2, where V is vertices, F is faces, and E is edges.

Cylinder

A three-dimensional solid with two parallel bases that are congruent circles and a height.

Pyramid

A polyhedron with a polygonal base and triangular faces that converge to a point.

Cone

A three-dimensional shape with a circular base and a single vertex not in the same plane as the base.

Triangular Prism

A prism whose bases are triangles.

Right Circular Cylinder

A cylinder with bases that are circles and the central axis perpendicular to the bases.

Net

A two-dimensional pattern that can be folded to form a three-dimensional solid.

Lateral Face

The face of a prism or pyramid that is not a base.

Congruent

Figures or shapes that have the same size and shape.

Polygon

A flat shape consisting of straight lines that are joined to form a closed path.

Trapezoidal Prism

A prism with bases that are trapezoids.

Base Area

The area of the base of a three-dimensional figure, which is used to calculate volume.