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Surface Area and Volume Objectives: Students will be able to find the surface area and volume of three dimensional figures.

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What is a Prism? 2 congruent, parallel faces (called the bases). The other faces of the prism are called lateral faces Named by the shape of its base Altitude: perpendicular segment joining the bases Height: the length of the altitude

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Pyramids and Cones Pyramid: The base is any polygon and the other faces (lateral faces) are triangles that meet at a common vertex. Cone: Pyramid whose base is a circle.

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Slant Height (l): The length of the altitude of the lateral face of the pyramid or cone Altitude Slant Height

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Lateral Surface Area Lateral area is the total area of all the surfaces that a figure has but DOES NOT include the bases of the figure.

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Lateral Surface Area: Right Prism LA = Ph P=perimeter of base h= height The sum of the areas of the lateral faces. Area of the sides (not including the bases)

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Lateral Surface Area Lateral Surface Area of Pyramid: LA = ½ Pl LA=1/2(perimeter of base)(slant height) P= perimeter of base l= slant height

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Example #1 Find the surface area of the figure. Round to the nearest tenth.

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Example #2 Find the surface area of the figure. Round to the nearest tenth.

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Example #3 Find the surface area of the figure. Round to the nearest tenth.

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Example #4 Find the surface area of the figure. Round to the nearest tenth.

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Example #5 Find the surface area of the figure. Round to the nearest tenth.

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Total Surface Area Right Prism SA= LA + 2B B= area of the base Sum of lateral surface area and the area of the 2 bases Find lateral surface area and then add the area of the bases

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Total Surface Area

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Volume The space that a figure occupies Measured in cubic units See MCAS sheet formula sheet Add Volume of any pyramid= B= area of base

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