Geometry 10-1 Solids

• Face: the flat side of a figure• Edge: a straight line connecting sides• Vertex: a corner where edges intersect

Basic Shapes

• Prism: 2 polygon bases, rectangle faces

• Cylinder: 2 circle bases, curved face

• Pyramid: 1 polygon base, triangle faces connect to a vertex

• Cone: 1 circle base, 1 curved side connects to a vertex

Name that Shape

• Prisms and pyramids are named according to the shape of the base.

Example

• Classify the solid shape.

pentagonal pyramidvertices: A, B, C, D, E, F

faces: 6 total (1 base)

edges:

Example

• Classify the solid shape.

vertex: Ncone

edges: cones don’t have edgesfaces: 2 total (1 base)

M

Volume and Surface AreaVolume: how much can fit inside of a shape

Surface area: total area of all facesLateral Surface area: area of side faces. Does not include the base(s).

Prisms

• Volume: V = BhB = area of the base shapeh = distance between bases

Prisms

• Total Surface Area: S = Ph + 2B• Lateral Surface Area: S = Ph

P = perimeter of base shape