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Published byMary Jenkins Modified over 7 years ago

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Prisms and Cylinders

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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)

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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.

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A prism may either be right or oblique.

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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 =

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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.

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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.

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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 =

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Find the LA, SA and V of the figure.

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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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