12.1 surface areas of prisms. polyhedra: a solid with flat faces poly - many hedra - faces (flat...

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12.1 Surface Areas of Prisms

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Page 1: 12.1 Surface Areas of Prisms. Polyhedra: a solid with flat faces Poly - many hedra - faces (flat faces) solid shapes faces are polygons lines are edges

12.1 Surface Areas of Prisms

Page 2: 12.1 Surface Areas of Prisms. Polyhedra: a solid with flat faces Poly - many hedra - faces (flat faces) solid shapes faces are polygons lines are edges

Polyhedra: a solid with flat faces

Poly - many hedra - faces

(flat faces)

solid shapes

faces are polygons

lines are edges

Page 3: 12.1 Surface Areas of Prisms. Polyhedra: a solid with flat faces Poly - many hedra - faces (flat faces) solid shapes faces are polygons lines are edges

•One type of polyhedron

•Bases - Two congruent parallel faces

•Lateral edges – parallel edges that join the vertices of the bases

Prism:

Page 4: 12.1 Surface Areas of Prisms. Polyhedra: a solid with flat faces Poly - many hedra - faces (flat faces) solid shapes faces are polygons lines are edges

•Lateral faces – faces of the prism that are not the bases and are parallelograms

•Named by shape of the base

Page 5: 12.1 Surface Areas of Prisms. Polyhedra: a solid with flat faces Poly - many hedra - faces (flat faces) solid shapes faces are polygons lines are edges

Triangular prism:

base width

height

Page 6: 12.1 Surface Areas of Prisms. Polyhedra: a solid with flat faces Poly - many hedra - faces (flat faces) solid shapes faces are polygons lines are edges

Rectangular prism:

basewidth

height

Page 7: 12.1 Surface Areas of Prisms. Polyhedra: a solid with flat faces Poly - many hedra - faces (flat faces) solid shapes faces are polygons lines are edges

Hexagonal prism

The bases are hexagons.

How many sides?

What are their shapes?

Page 8: 12.1 Surface Areas of Prisms. Polyhedra: a solid with flat faces Poly - many hedra - faces (flat faces) solid shapes faces are polygons lines are edges

Lateral surface (L.A.):

Sum of the area of the lateral faces.

Page 9: 12.1 Surface Areas of Prisms. Polyhedra: a solid with flat faces Poly - many hedra - faces (flat faces) solid shapes faces are polygons lines are edges

Base area: area of the base doubled

Total area: lateral area plus 2 base areas

Page 10: 12.1 Surface Areas of Prisms. Polyhedra: a solid with flat faces Poly - many hedra - faces (flat faces) solid shapes faces are polygons lines are edges

Find the surface area14m

15m

13m20m12m

SA= A△+ A△ +A +A +A

Remember: the 2 △ are the same, but all 3 are not the same!

Page 11: 12.1 Surface Areas of Prisms. Polyhedra: a solid with flat faces Poly - many hedra - faces (flat faces) solid shapes faces are polygons lines are edges
Page 12: 12.1 Surface Areas of Prisms. Polyhedra: a solid with flat faces Poly - many hedra - faces (flat faces) solid shapes faces are polygons lines are edges

Find the surface for a right rectangular prism with the given dimensions. B=18, L=9, W=9

Draw the picture

Write the formula

Solve, answer with units

Page 13: 12.1 Surface Areas of Prisms. Polyhedra: a solid with flat faces Poly - many hedra - faces (flat faces) solid shapes faces are polygons lines are edges