10.4 Surface Area of Prisms and Cylinders

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Presentation transcript:

10.4 Surface Area of Prisms and Cylinders Geometry

Definitions: Lateral face: not the base Lateral edge: not an edge of the base Right prism: All lateral faces are rectangles Oblique prism: has at least one nonrectangular lateral face

Diagram:

Definitions Altitude: the perpendicular segment joining the planes of the bases (the height of the prism)

Definition Surface Area: the total area of all faces and curved surfaces of a three-dimensional figure.

Formulas Lateral Area of Right Prisms L=Ph Surface Area of Right Prisms S=L+2B or S=Ph+2B

Examples: Find the lateral area and surface area of the right prism.

Example: Find the lateral area and surface area of a right regular triangular prism with height 20 cm and base edges 10 cm.

Example: Find the lateral and surface area of a cube with edge length 8 cm.

Definitions: Lateral surface: cylinder is the curved surface that connects the two bases. Axis of a cylinder: the segment with endpoints at the centers of the bases.(also called height) Right Cylinder: the axis is perpendicular to the bases Obliques Cylinder: the axis is not perpendicular to the bases.

Diagram:

Formulas:

Example: Find the lateral and surface area for the right cylinder.

Example:

Example:

Examples: Find the surface area of the composite figure.

Example: Find the surface area of the composite figure.

Example: The edge length of the cube is tripled. Describe the effect on the surface area.

Example: The height and the diameter of the cylinder are multiplied by ½ . Describe the effect on the surface area.

Example: A sporting goods company sells tents in two styles, shown below. The sides and floor of each tent are made of nylon. Which tent requires less nylon to manufacture?