# Geometry Chapter 10 Vocab

## 56 terms

### Face

Each flat surface of a solid

### Edge

a segment that is formed by the intersection of two faces

### Vertex

a point where three or more faces intersect

### Cylinder

A solid formed by two parallel congruent circular bases and a curved surface connecting the bases

### Prism

A solid formed by two parallel congruent bases connected by faces that are parallelograms

### Pyramid

A solid formed by a polygonal base and triangular faces that meet at a common vertex

### Cone

A solid formed by a circular base and a curved surface that connects the base to a vertex

### Cube

A prism with six square faces

### Net

Diagram of the surfaces of a three dimensional figure that can be folded to form a three dimensional figure

### Cross-section

An intersection of a three dimensional figure and a plane

### Polyhedron

A solid formed by four or more polygons that intersect only at their edges

### Space

A set of all points in three dimensions

### Euler's Formula

Vertices - Edges + Faces = 2

### Diagonal of a Right Rectangular Prism

d = √ L^2 x w^2 x h^2

### Distance in 3D

√ (x2 - x1) + (y2 - y1) + ( z2 - z1)

### Midpoint in 3D

( x1 +x2 / 2, y1 +y2 / 2, z1 +z2 / 2)

### Lateral Face

A face that is not a base

### Lateral Edge

The edge of a lateral face

### Right Prism

All lateral faces are rectangles

### Oblique Prism

Has at least 1 non rectangular face

### Altitude

Perpendicular segment joining the planes of the bases

### Surface Area

The total area of all faces and curved surfaces of a 3D figure

### Lateral Area of a Prism

Lateral Area = Perimeter x height

### Surface Area of a Prism

Surface Area = Lateral Area + 2 x base area

### Surface Area of a Cube

Surface Area = 6 x side squared

### Lateral Surface of a Cylinder

The curved surface that connects the two bases

### Axis of a Cylinder

Segment with endpoints at the centers of the bases

### Right Cylinder

Axis perpendicular to the bases

### Oblique Cylinder

Axis not perpendicular to the bases

LA = (2pir)h

### Surface Area of a Cylinder

2(pi)rh + 2(pi)r^2

### Vertex of a Pyramid

Point opposite the base of the pyramid

### Regular Pyramid

The base is a regular polygon, and the lateral faces are congruent isosceles triangles

### Slant height of a regular pyramid

The distance from the vertex to the midpoint of an edge of the base

### Altitude of a pyramid

The perpendicular segment from the vertex to the plane of the base

### Lateral Area of a Regular Pyramid

(perimeter of base x slant height)/2

sa=1/2Pl+B

### Vertex of a Cone

The point opposite the base in a cone.

### Axis of a Cone

the segment with endpoints at the vertex and the center of the base

### Right Cone

a cone whose axis is perpendicular to the plane containing its base

### Oblique Cone

A cone whose axis is not perpendicular to the base.

### Slant Height of a Cone

The distance from the vertex of a right cone to a point on the edge of the base.

### Altitude of a Cone

A perpendicular segment from the vertex of a cone to the plane of the base

### Lateral Area of a Cone

pie x radius x slant height

### Surface Area of a Cone

SA=(Pi)rl+(Pi)r(squared)

### Volume of a 3D Figure

Number of non-overlapping unit cubes of a given size that will exactly fill the interior

### Volume of a Prism

V = Base area times height

### Volume of a Cylinder

V = (pi times radius squared) height

### Volume of a Pyramid

V = 1/3 times Base area times height

### Volume of a Cone

V = 1/3 pi radius squared times height

### Sphere

the set of all points equidistant from a fixed point called the center

### Center of a Sphere

The point inside a sphere that is the same distance from every point on the sphere.

Connects any point on the center of a sphere to any point on the sphere

### Great Circle

divided a sphere into two hemispheres

4/3 pi r^3

### Surface Area of a Sphere

4 times pi times radius squared