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

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

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

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.

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

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.

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)

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

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

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

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

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

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

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

Total Surface Area

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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