 # Prisms and Cylinders. A prism is a polyhedron with exactly 2 congruent parallel faces. The bases are the two congruent parallel faces. Lateral faces are.

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Prisms and Cylinders

A prism is a polyhedron with exactly 2 congruent parallel faces. The bases are the two congruent parallel faces. Lateral faces are the other faces (everything but the bases)

An altitude of a prism is a perpendicular segment that connects the two bases. The height h of a prism is the length of the altitude.

A prism may either be right or oblique.

The Lateral Area (LA) is the sum of the areas of the lateral faces. LA = The Surface Area (SA) is the total area (LA + the area of the bases) SA = The Volume (V) is the amount of space the figure occupies. V =

A cylinder is like a prism but with circular bases. The bases are circles. The altitude and height of a cylinder are the same as that of a prism. A cylinder may be right or oblique.

To find the area of the curved surface of a cylinder, visualize “unrolling it”. The area of the resulting rectangle is the lateral area. The surface area is the sum of the lateral area and the area of the bases.

The Lateral Area (LA) is the area of the rectangle that resulted when we “unrolled” the cylinder. LA = The Surface Area (SA) is the total area (LA + the area of the bases) SA = The Volume (V) is the amount of space the figure occupies. V =

Find the LA, SA and V of the figure.

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 cylinder.

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