section 12-1 prisms. prism a 3-dimensional figure with two congruent, parallel faces the congruent,...
TRANSCRIPT
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Section 12-1Prisms
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Prism• a 3-dimensional figure with
two congruent, parallel faces•The congruent, parallel faces are called the bases.•The bases lie in parallel planes.
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Base
Base
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Altitude of a prism• a segment joining the two
base planes; it is perpendicular to both planes
• The length of the altitude is the height of the prism!
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altitude
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• the faces that are not its bases•In the shape of parallelograms
Lateral faces of a prism
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• the parallel segments where adjacent lateral faces intersect
Lateral Edges
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Types of prisms1. Right Prism:
– have rectangles for the lateral faces
– Lateral edges are altitudes
2. Oblique prism: – Lateral edges are NOT altitudes
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Example of a Right Prism:
Example of an Oblique Prism:
Height
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A prism is named by the shape of its
base.
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Some Examples of Right Prisms:
Rectangular Prism:
Base
Base
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If the edges have equal length then the rectangular
prism is called a cube.
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Triangular Prism:
: Pentagonal Prism
Base
Base
Base
Base
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Hexagonal Prism:
And the list goes on…..
Base
Base
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Lateral area•The sum of the areas of the lateral faces
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Theorem 12-1• The lateral area of a right
prism equals the perimeter of a base times the height of the prism.
L.A. = Ph
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Total Area• The sum of the areas of all its
faces
T.A. = L.A. + B2
Total AreaLateral Area # of Bases
Area of a Base
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volume• The number of cubic units enclosed by a three dimensional object.
Therefore volume is measured in cubic units.
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Theorem 12-2• The volume of a right prism equals the area of a base times the height of the prism.
BhV