Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a...

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Polyhedra & Surface Area

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Transcript of Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a...

Page 1: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

Polyhedra & Surface Area

Page 2: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

Polyhedra

• Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose sides are polygons.

• Face – “side” of the polyhedron.

Page 3: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.
Page 4: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

Prism

• Prism – A polyhedron with two congruent parallel faces.

• The parallel faces are the bases of the prism.

• Faces – The sides OTHER THAN the bases.

• Prisms are named by their bases.

Page 5: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.
Page 6: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

Right prism: A prism whose lateral edges are altitudes

Oblique prism: A prism whose lateral edges are not

altitudes

Types of Prisms

Page 7: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

Pyramid

• Pyramid – A polyhedron that has all its faces (except one) intersecting at a point.

• Pyramids are named by their base.

Page 8: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.
Page 9: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

Name each polyhedra

4. 5.

Page 10: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

Surface Area• To find surface area of a prism,

find the sum of the areas of all the faces of the prism.

• Net: A pattern for a three-dimensional solid

• Lateral faces: Rectangular faces that are not the bases

• Lateral edges: the parallel line segments formed when lateral faces meet

Page 11: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.
Page 12: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

=

NET I NET II

Page 13: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.
Page 14: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.
Page 15: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.
Page 16: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.
Page 17: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

Find SA

Page 18: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

SA of a Prism with regular base

(Area of Base x 2) + (Area of rectangle x n)

Page 19: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

Find SA

Page 20: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

SA of a Prism with irregular Base

(Area of Base x 2) + Lateral Area

Page 21: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

Find SA

Page 22: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

SA of a Cylinder

2πr2 + 2πrh

Page 23: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

Find SA

Page 24: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

SA of a Cone

πr2 + πrl

Page 25: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

Find SA

Page 26: Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

SA of Pyramid

Area of Base + n(sl)/2


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Polyhedron 012

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polyhedron 002

polyhedron 002

Polyhedron #108

Polyhedron #108

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Polyhedron Paper

Polyhedron Paper

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