12.2 Surface Area of Prisms and Cylinders

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12.2 Surface Area of Prisms & Cylinders

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Presentation transcript:

12.2 Surface Area of Prisms and Cylinders Lateral face Oblique

Definition of a Prism A Prism is a solid having bases or ends that are parallel, congruent polygons and sides that are parallelograms. http://dictionary.reference.com/browse/prism

Parts of a Right Prism Height is the distance between the bases

Different Right Prisms All Prisms with a Right angle

Definition of an Oblique Prism A prism with angles that are not right angles.

A way to show the surface of a Prism A two Dimensional representation of a prism is called a net

Right Prism Theorem The Surface Area of a Prism is two bases plus the lateral faces. Lateral faces = Height times Perimeter B is Base P is Perimeter H is Height

Right Prism Theorem The Base is 4(7)= 28 Perimeter is 2(4)+2(7) = 22 Height is 5 S.A. = 2(28) + 22(5) S.A. = 166

Another way is adding all the faces and bases The equation S.A. = 2(W·H + W·L + H·L) W = 4; L = 7; H = 5

Definition of a Cylinder A Prism with a circular base

The net of a Cylinder Two circles and a Rectangle

The Surface Area of a Cylinder 2 Bases + Circumference times height

The Surface Area of a Cylinder 2 Bases + Circumference times height

The Surface Area of a Cylinder 2 Bases + Circumference times height