prisms and cylinders. a prism is a polyhedron with exactly 2 congruent parallel faces. the bases are...
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Prisms and CylindersPrisms and Cylinders
A A prismprism is a polyhedron with exactly 2 congruent is a polyhedron with exactly 2 congruent parallel faces.parallel faces.
The The basesbases are the two congruent parallel faces. are the two congruent parallel faces.
Lateral facesLateral faces are the other faces (everything but are the other faces (everything but the bases)the bases)
An An altitudealtitude of a prism is a perpendicular of a prism is a perpendicular segment that connects the two bases.segment that connects the two bases.
The The heightheight hh of a prism is the length of the of a prism is the length of the altitude.altitude.
A prism may either be A prism may either be rightright or or obliqueoblique..
The The Lateral Area (LA)Lateral Area (LA) is the sum of the areas of the is the sum of the areas of the lateral faces.lateral faces.
LA =LA =
The The Surface Area (SA) Surface Area (SA) is the total areais the total area(LA + the area of the bases)(LA + the area of the bases)
SA = SA =
The The Volume (V)Volume (V) is the amount of space the figure is the amount of space the figure occupies.occupies.
V = V =
A A cylindercylinder is like a prism but with circular bases. is like a prism but with circular bases.
The The bases bases are circles.are circles.
The altitude and height of a cylinder are the same as The altitude and height of a cylinder are the same as that of a prism.that of a prism.
A cylinder may be A cylinder may be rightright or or oblique.oblique.
To find the area of the curved surface of a cylinder, To find the area of the curved surface of a cylinder, visualize “unrolling it”. The area of the resulting visualize “unrolling it”. The area of the resulting rectangle is the rectangle is the lateral area.lateral area.
The The surface areasurface area is the sum of the lateral area and is the sum of the lateral area and the area of the bases.the area of the bases.
The The Lateral Area (LA)Lateral Area (LA) is the area of the rectangle that is the area of the rectangle that resulted when we “unrolled” the cylinder.resulted when we “unrolled” the cylinder.
LA =LA =
The The Surface Area (SA) Surface Area (SA) is the total areais the total area(LA + the area of the bases)(LA + the area of the bases)
SA = SA =
The The Volume (V)Volume (V) is the amount of space the figure is the amount of space the figure occupies.occupies.
V = V =
Find the LA, SA and V of the figure.Find the LA, SA and V of the figure.
Find the LA, SA and V of the figure.Find the LA, SA and V of the figure.
Find the LA, SA and V of the figure.Find the LA, SA and V of the figure.
Find the LA, SA and V of the figure.Find the LA, SA and V of the figure.
The radius of the base of a cylinder is 4 in. and The radius of the base of a cylinder is 4 in. and its height is 6 m. Find the LA, SA and V of the its height is 6 m. Find the LA, SA and V of the cylinder.cylinder.