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Name: ______________________________________ Date: _________________ Surface Area of Solid Figures (Cubes, Rectangular and Triangular Prisms) 6G4: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. Review: Area is the amount of space ____________ 2-dimensional object. Formula: Formula: Formula: A=______ A=______ A=______ What is surface area? The surface area is the _______ of all the areas of all the shapes that cover the surface of a ________________ object. Formulas and Examples: Figure & Formula Cube Face/Net #of Faces: _____ Solve SA = 6 (l x w) Formula SA = 6 (l x w) OR SA = 2wl + 2lh + 2hw Rectangular Prism #of Faces: _____ SA= 2wl + 2lh + 2hw #of Faces: _____ SA = bases + lateral faces Formula SA = 2wl + 2lh + 2hw Triangular Prism Formula SA = bases + lateral faces (triangles) + (rectangles) (triangles) + (rectangles) Let’s Try Find the surface area for the following figures. Show your work. SA= ________ SA= ________ Your turn Select 3 problems from each section (row) to complete. You must show your work for full credit SECTION A: Find the Surface Area. SA = _______ SA = _______ SA = _______ SA = _______ SECTION B: Find the Surface Area. SA = _______ SA = _______ SA = _______ SA = _______ SECTION C: Word Problems Find a 3D figure in the classroom. Illustrate and measure the dimensions of the figure. A quart of stain covers 100 square feet. How many quarts should you buy to stain the wheelchair ramp? Calculate the surface area of the figure. A public library has an aquarium in the shape of a rectangular prism. The base is 6 feet by 2.5 feet. The height is 4 feet. How many square feet of glass were used to build the aquarium? (The top of the aquarium is open.) Illustrate the aquarium showing the dimensions. You are building a storage box out of plywood using the dimensions shown. Plywood costs $1.50 per square foot. Find the total cost of the plywood. Name: ______________________________________ Date: _________________ Surface Area of Solid Figures (Cubes, Rectangular and Triangular Prisms) 6G4: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. Review: Area is the amount of space ____________ 2-dimensional object. Formula: Formula: Formula: A=______ A=______ A=______ What is surface area? The surface area is the _______ of all the areas of all the shapes that cover the surface of a ________________ object. Formulas and Examples: Figure & Formula Cube Face/Net Solve #of Faces: _____ SA = 6 (l x w) ___ x ___ x ___ ___ x ___ _____ Formula SA = 6 (l x w) OR SA = 2wl + 2lh + 2hw Rectangular Prism #of Faces: _____ 2wl + 2lh __ x ___ ____ Formula Formula SA = bases + lateral faces (triangles) + (rectangles) + __ x ___ + ____ ______ SA = 2wl + 2lh + 2hw Triangular Prism + 2hw __(__x__)+ __(__x__)+ __(__x__) + ___ x ___ + ____ + ____ _______ #of Faces: _____ bases (triangles) + lateral faces + (rectangles) (bh÷2) 2 + (lw + lw + lw) (__x__÷2)2+ (__x__+__x__+__x__) (_____÷2)2+ (___ + ___ + ___) ____ x2 + ____ ___ + ____ _______ Area is the amount of space inside 2-dimensional object. The surface area is the SUM of all the areas of all the shapes that cover the surface of a 3d object. Challenge A room is 13 feet long, 11 feet wide, and 10 feet high. In the room, there are three windows that are each 4 feet wide and 5 feet tall. If one gallon of paint covers 350 square feet, how many gallons of paint do you need to paint the walls and door of the room? Explain. Photo Cube The length of each edge of a photo cube is 3 inches. Does the photo cube have more or less viewing surface than a flat photograph that is 8 inches wide and 10 inches long? Explain. GEOMETRY The surface area of a square pyramid is 85 square meters. The base length is 5 meters. What is the slant height?