Unit 12: Solids and Revolutions

Cone

A three dimensional shape with a circular base and a vertex opposite the base

Cylinder

A solid composed of two parallel congruent circles. Those circles are connected by the sides that create the height of the cylinder.

Prism

A solid figure that has two congruent, parallel polygons as its bases. Its sides are parallelograms

Pyramid

A solid shape with a polygon as a base and triangular faces that come to a point (vertex)

Sphere

A solid shape that is perfectly round like a ball. No faces, edges, or vertices.

Three-Dimensional Figure

A solid figure that has length, width, and height

Base (of a solid figure)

A base of a solid figure is usually thought of as a face upon which it can "sit." Most solid figures have more than one base.

Area of the Base

In a three-dimensional figure, the area , in square units, of the base of the solid

Lateral Face

The faces on the side of a solid that are not the base(s)

Lateral Surface Area

Sum of the surface areas of all the lateral faces of a solid

Total Surface Area

For a three-dimensional figure, the sum of the areas of all the faces and bases of the figure; Lateral area plus base area

Volume (of a solid figure)

The amount of space a three-dimensional solid takes up

Cross-Section

The intersection of a three-dimensional figure and a plane

Slant Height (of a pyramid)

Used to find the total surface area of a pyramid. This is not the height of the pyramid.

Scale Factor

The ratio of any two corresponding lengths in two similar geometric figures.

Symmetry

When a shape is congruent to the original shape when it is moved, rotated, or flipped