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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 facebottom face

Now that we know the four parts, lets 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!!! LLLLooking at the picture below, where is/are the vertex/vertices located? GGGGot it cornered? Get it! Vertex ---corner! Vertices--Corners

Taking a deeper look Now that weve had a chance to see the different parts of three dimensional objects. Lets 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 its 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?!? Its 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 pointsall 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 4 + 8 4 + 4 3 + 4 3 + 8 3 + 8 3 = 32 + 32 + 12 + 12 +24 + 24= 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. Its 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 10-17 1st period # 15,16,26,28a,29 2nd period #16,26,28a,29a 3rd period #16,26,28a,29a 4th period #16,26,28a,29a

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