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

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

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

Page 1: Prisms, Pyramids, Cross- Sections, Nets, Vertices, Faces, Edges and Euler’s Rule.

Prisms, Pyramids, Cross-Sections, Nets, Vertices, Faces,

Edges and Euler’s Rule.

Page 2: Prisms, Pyramids, Cross- Sections, Nets, Vertices, Faces, Edges and Euler’s Rule.

• Prisms• Pyramids• Cross-Sections• Nets • Vertices, Faces and

Edges• Euler’s Rule

3D Shapes Times

Rectangular Prism

Octagonal Prism

Contents

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

Prisms

• 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.

Prisms in life:

Dice are cubes. Soccer balls are spheres

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.

Northern Hemisphere

Southern Hemisphere

This ice cream cone is a cone!

This box is a rectangular prism

Page 4: Prisms, Pyramids, Cross- Sections, Nets, Vertices, Faces, Edges and Euler’s Rule.

Pyramids

• A Pyramid is a three-dimensional solid with a polygon as a base and triangular faces that taper to a point.

What type of Pyramid are the famous Egyptian pyramids?

A: Triangular Pyramid

B: Rectangular Pyramid

C: Square Pyramid

Pyramids in life:

The Egyptian Pyramids

This piece of yummy cake is a triangular pyramid!

Don’t see it?

Maybe this will help!

Click on the blue box next to your answer!

Page 5: Prisms, Pyramids, Cross- Sections, Nets, Vertices, Faces, Edges and Euler’s Rule.

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!

Page 6: Prisms, Pyramids, Cross- Sections, Nets, Vertices, Faces, Edges and Euler’s Rule.

Nets

• 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

Hexagonal Prism

Page 7: Prisms, Pyramids, Cross- Sections, Nets, Vertices, Faces, Edges and Euler’s Rule.

Vertices, Faces and Edges

• Vertices are corners. A vertex is one corner.

• Faces are flat surfaces.

• An edge is where two faces meet.

EdgeCorner

FaceHow many Edges, vertices and faces does a cube have???

A: 6 edges 12 vertices 8 faces

B: 8 edges 6 vertices 12 faces

C: 12 edges 8 vertices 6 faces

Page 8: Prisms, Pyramids, Cross- Sections, Nets, Vertices, Faces, Edges and Euler’s Rule.

• 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.

…so you see Emma when you take the

edges from the vertices

and…

Oh… I get it now!

A cube has 8 vertices, 12 edges and 6 faces:

8+6-12=2

Euler’s Rule

Page 9: Prisms, Pyramids, Cross- Sections, Nets, Vertices, Faces, Edges and Euler’s Rule.

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The homework doctor prescribes this PowerPoint to anyone who needs help with their prisms and pyramids work!

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Page 10: Prisms, Pyramids, Cross- Sections, Nets, Vertices, Faces, Edges and Euler’s Rule.

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Page 12: Prisms, Pyramids, Cross- Sections, Nets, Vertices, Faces, Edges and Euler’s Rule.

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CORRECT!

Page 13: Prisms, Pyramids, Cross- Sections, Nets, Vertices, Faces, Edges and Euler’s Rule.

Right!

• It will be a circle!

• This is the cone after we cut it!Click this button to continue the show!

Page 14: Prisms, Pyramids, Cross- Sections, Nets, Vertices, Faces, Edges and Euler’s Rule.

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Page 15: Prisms, Pyramids, Cross- Sections, Nets, Vertices, Faces, Edges and Euler’s Rule.

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Page 16: Prisms, Pyramids, Cross- Sections, Nets, Vertices, Faces, Edges and Euler’s Rule.

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Here’s a clue, your close! The answer to the quiz is a shape similar to your choice this time…

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Page 23: Prisms, Pyramids, Cross- Sections, Nets, Vertices, Faces, Edges and Euler’s Rule.

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