THREE-DIMENSIONAL FIGURES

Haydee Dizon Macapinlac

September 3, 2014

Objectives:Define three-dimensional figures

Identify the parts of a 3D figure

Identify and describe attributes of three-

dimensional shapes including prisms, pyramids,

spheres, cones, and cylinders using appropriate

vocabulary.

What are three-dimensional figures?

These figures are solid or hollow, you could hold them in your hand.

They have length, width,

and height.

They are also called

solid geometric figures.

Solid Figures can have:

Surface

Face

Base

Edge

Corner

Edge

Surface

• The curved part of a 3D shape.

• Cylinders and cones have surfaces.

Face

• Part of a 3D figure that is flat.

• The side of a 3D figure.

Base

• The bottom face of a 3D object.

Base

Edge

• The line where two faces meet on a 3D object.

Corner

• The point where three or more edges touch.

Vertex (Vertices)

• The point where three or more edges meet.

• This cube has 12 vertices all together.

TYPES OF THREE-DIMENSIONAL

FIGURES

(SOLID FIGURES)

Cube

• A three-dimensional shape which

has:

– 6 square faces with the same sizes

– 12 edges

– 8 vertices

– 8 corners

Cube

• Some faces are parallel.• Some edges are parallel.• Some faces are

perpendicular.• Some edges are

perpendicular.

Cube

• Cubes in daily life: – A box

– Blocks

– Dice

Sphere

• A perfectly round three-dimensional shape, like a ball.

• It has only one curved surface.

• A sphere has no face,edge,vertex and corner.

Sphere

• Spheres in daily life:– A Ball

– A Globe

– A Marble

Cone• A three-dimensional shape

made up of:– a circular base

– a curved surface that comes to a point at the top (vertex).

• A Cone has no edge and corner.

Cone

• Cones in daily life:– Ice Cream Cone– A Party Hat

Cylinder• A three-dimensional shape

with one curved surface and 2 equal circles as its base.

• A Cylinder has 2 faces, 1 surface, no edges and

no corners.

Cylinder

• Cylinders in daily life:– A Soup Can

– A Roll of Toilet Paper

Pyramid• A three-dimensional

shape which has a polygon for its base and triangular faces which meet at one point (vertex).

Rectangular Prism

• A 3D shape that has:– 6 rectangular faces

• 2 of those faces are equal

– 12 edges

– 8 vertices

Rectangular Prism• Some faces are parallel

• Some edges are parallel

• Some faces are perpendicular

• Some edges are perpendicular

Rectangular Prism

• Rectangular prism in daily life: – A Kleenex Box

– A Refrigerator

– A Cereal Box

References:

• Plane and Solid Mensuration, A simplified Approach by Earnhart and Bejasa

• Simplified Engineering Mathematics by JAS Tordillo

• www.google.com

• www.slideshare.com