Nets  Taking a deeper look. Click on the hyperlink below.

Over-viewing three dimensional objects.

4 Important parts  Base Base  Vertex/vertices Vertex/vertices  Edge Edge  Face Face

Introducing the Face Face  When you think of the face of a three dimensional object, remember that it is similar to our faces. It is the flat two- dimensional surfaces of a three dimensional shape.

Introducing the Edge Edge  The edges of a three dimensional object can be remembered by looking at your class room. We are in the center of a rectangular prism. The line segment where two walls meet is called the “Edge".  Another way to say this is : An edge is a line segment formed where two faces of a three-dimensional shape meet.

Introducing the Vertex or Vertices (if there are more than one). Vertex  The vertex is the corner of a 3- dimensional shape. When you speak of more than one we call them vertices!.

Introducing the Base Base  When you are determining the base of a three dimensional object just remember it is the “bottom face” bottom face”bottom face”

Now that we know the four parts, let’s say them out loud!  Base  Face  Vertex  Edge  Math net Math net Math net

Table A for the chance to win 100 points!!!!!  What is a flat two-surface of a three- dimensional shape? Can you point to it using your shape on the table?  FACE  How many faces are on your shape?

Table B for the chance at 100 points!!!  What is a line segment formed where two faces of a three -dimensional shape meet?  An Edge  How many edges are on your shape?

Table C for the chance to win 100 points!!  What is the “bottom face” of a three- dimensional object?  BASE

Table D for the chance to win 100 points!!! LLLLooking at the picture below, where is/are the vertex/vertices located? GGGGot it cornered? Get it! Vertex ---corner! Vertices--Corners

Taking a deeper look  Now that we’ve had a chance to see the different parts of three dimensional objects. Let’s take a look at a few types of three- dimensional shapes.  Cube Cube  Rectangular Prism Rectangular Prism Rectangular Prism  Cylinder Cylinder  Pyramid Pyramid  Cone Cone

Cube  The cube is a three-dimensional shape with six identical square faces.  Can you identify it’s parts? Face, Base, Edge, Vertex

Prism  A three-dimensional shape with a top and bottom (base) that are congruent polygons and lateral faces that are parallelograms.

Rectangular Prism  A prism with a top and bottom (base) that are congruent rectangles.

Table E for the chance to win 100 points!!!  What is the difference between a rectangular prism and a cube?  The cube is a three-dimensional shape with six identical square faces.  A rectangular prism is a prism with a top and bottom (base) that are congruent rectangles.

Cylinder  A three-dimensional shape with two opposite faces that are congruent circles. The side (lateral surface) is a rectangle that is “wrapped around” the circular faces at the ends.

Cylinder  So what does that mean?  Take two circles, and a rectangle (like your notebook paper). Roll the rectangle and place the two circles one on each end and you have just formed a cylinder.

Pyramid  A pyramid is a three-dimensional shape with one polygonal base and lateral sides that are all triangles that meet at the vertex opposite the base.  Say what?!?  It’s the same as the pyramids in Egypt but we can change the base to different polygons!

Cone  A three-dimensional shape with a circular base and a vertex opposite the base. V e r t e x C i r c u l a r b a s e

Table F for the chance to win 100 points!!!  What is the difference between a cone and a cylinder?  A cylinder is a three-dimensional shape with two opposite faces that are congruent circles. The side (lateral surface) is a rectangle that is “wrapped around” the circular faces at the ends.  A cone is a three-dimensional shape with a circular base and a vertex opposite the base

Surface Area  The surface area of a space figure is the total area of all the faces of the figure. 

For the chance to win 100 points—all tables!!!  What is the surface area of a box whose length is 8, width is 3, and height is 4?  This box has 6 faces: two rectangular faces are 8 by 4, two rectangular faces are 4 by 3, and two rectangular faces are 8 by 3. Adding the areas of all these faces, we get the surface area of the box:  8 × × × × × × 3 = = 136

Volume  Volume is a measure of how much space a space figure takes up. Volume is used to measure a space figure just as area is used to measure a plane figure.  So what does that mean. It’s all about what the shape can hold.

For the chance to win 100 points– all teams!!!  What is the difference between surface area and volume?  Surface area- it the area of the faces of the three-dimensional object combined.  Volume is the space on the inside of the three-dimensional object.

Terms to remember (repeat after me)  Face  Base  Vertex/Vertices  Edge  Cube  Rectangular Prism  Cylinder  Pyramid  Cone  Surface Area  Volume

Ticket out the door  How many faces can be found on a rectangular prism? Homework Ace p st period # 15,16,26,28a,29 2nd period #16,26,28a,29a 3rd period #16,26,28a,29a 4th period #16,26,28a,29a