Prisms, Pyramids, Cross-Sections, Nets, Vertices, Faces, Edges and Euler ’ s Rule.

3D Shapes Prisms, Pyramids, Cross-Sections, Nets, Vertices, Faces, Edges and Euler’s Rule.

Contents • Prisms • Pyramids • Cross-Sections • Nets • Vertices, Faces and Edges • Euler’s Rule Rectangular Prism 3D Shapes Times Octagonal Prism

Prisms Prisms in life: This box is a rectangular prism • A right prism is a three-dimensional solid having two identical, parallel bases. All other faces are rectangles. • The bases of prisms are regular polygons. Dice are cubes. Soccer balls are spheres Northern Hemisphere Southern Hemisphere This cup is a cylinder. A half sphere is a hemi-sphere. We call the upper and lower halves of the Earth hemi-spheres. Another name for this shape is half sphere. This ice cream cone is a cone!

Pyramids • A Pyramid is a three-dimensional solid with a polygon as a base and triangular faces that taper to a point. Pyramids in life: The Egyptian Pyramids This piece of yummy cake is a triangular pyramid! Don’t see it? Maybe this will help! What type of Pyramid are the famous Egyptian pyramids? A: Triangular Pyramid B: Rectangular Pyramid C: Square Pyramid ? ? Click on the blue box next to your answer!

Cross-Sections • A cross-section is the face that results from slicing through a solid shape! QUIZ! What shape would this ice cream cone be if we cut it like this? A: Square B: Circle C: Triangle When this women cuts the carrot it will look like this in the middle: This is the cross-section of this carrot!

Nets Hexagonal Prism • Nets are the 2D drawings that when cut out can be folded into a 3D shape. • Like this: This is a net for of these 3D shapes. Can you guess which one it is??? A: Rectangular Prism B: Square Prism/ Cube C: Hexagonal Prism

Vertices, Faces and Edges Face How many Edges, vertices and faces does a cube have??? • Vertices are corners. A vertex is one corner. • Faces are flat surfaces. • An edge is where two faces meet. A: 6 edges 12 vertices 8 faces B: 8 edges 6 vertices 12 faces C: 12 edges 8 vertices 6 faces Corner Edge

…so you see Emma when you take the edges from the vertices and… Euler’s Rule Oh… I get it now! • Euler’s rule is a rule concerning 3D shapes. Leonhard Euler discovered that when you take the shapes vertices from its edges and added its faces it equals 2. A cube has 8 vertices, 12 edges and 6 faces: 8+6-12=2

Click here to watch again!!! I would like to thank the following people: Me (of course) Mr. Riffe Mr. Hailu and… … … … YOU!!! Thanks for watching!! To end show, click this button! The homework doctor prescribes this PowerPoint to anyone who needs help with their prisms and pyramids work! Note to self: This show can help me with homework!

INCORRECT! • Click the back button to have another guess

INCORRECT! Click the back button to have another guess!

CORRECT! Click this button to go to the next slide!

Right! • It will be a circle! • This is the cone after we cut it! Click this button to continue the show!

SORRY! • To have another go or just return to the slide show click this button!

TRY AGAIN! • Good guess but it’s not right. If you want another try or you just want to keep going, click here!

WRONG! • Good guess. Here’s a clue, your close! The answer to the quiz is a shape similar to your choice this time… Click here to go back

GREAT! You really know your nets! Click here to go on

TRY AGAIN! • You didn’t get it right this time but don’t let it stop you trying!

Good try! Click here to go back!!!

GRRREAT! • Click here to go on!

WRONG! • Never mind! Click here to have another go!

SORRY! • Try again!

INCORRECT! • Click here to try again!

Prisms, Pyramids, Cross-Sections, Nets, Vertices, Faces, Edges and Euler ’ s Rule.