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
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:
•Lateral faces – faces of the prism that are not the bases and are parallelograms
•Named by shape of the base
Triangular prism:
base width
height
Rectangular prism:
basewidth
height
Hexagonal prism
The bases are hexagons.
How many sides?
What are their shapes?
Lateral surface (L.A.):
Sum of the area of the lateral faces.
Base area: area of the base doubled
Total area: lateral area plus 2 base areas
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!
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