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A&W Math 11 Unit 1 Measurement Name:__________________ Lesson Notes 1.2: Surface Area: Prisms and Cylinders Date:_________________ Prisms and cylinders have two congruent bases and a lateral area. Lateral area combined area of the side faces of a 3-D object. Look at the following diagrams and label the nets. Which block has less surface area? __________________________________________________ Example 1) Karen is designing a plastic wrapper for a cylindrical roll of R-12 insulation. The surface area of the wrapper is 2375 sq in. What are the width and height of the rectangular part of her design, to the nearest inch? What is the width of the rectangle? Width = π x ____ in = ___________ in. How can you use the formula for surface area to get the height? Example 2) What is the surface area of each object? Example 3) A steel cylinder is 10 cm long and has a radius of 5 cm. Determined its surface area. Example 4) How much corrugated steel will be needed to cover a Quonset hut (a kind of building that is half a cylinder) that is 20 feet wide by 48 feet long if both the front and the back are covered, except for a door that is 8 feet tall by 7 feet wide? Example 5) Henry is building a feed trough for his cattle. The trough is to be triangular with a length of 12 feet, a height 1.5 feet, and a width of 4 feet. How much wood is required to build it? Example 6) Name the following prisms. A&W Math 11 Unit 1 Measurement Name:__________________ Assignment 1.2: Surface Area: Prisms and Cylinders 1) Name the following prisms. Date:_________________ 2) Draw nets for the following prisms, and label the dimensions of each side. 3) For each diagram, calculate surface area. 4) Bob is a metal worker and is making round cake pans. How much metal will he use in making a 9-inch round cake tin that is 1 inches tall? (open top) 5) How much corrugated steel will be needed to cover a Quonset hut (a kind of building that is half a cylinder) that is 8 m wide by 22 m long if both the front and the back are covered, except for a door that is 3 m tall by 2 m wide? 6) Harley is building a feed trough for his cattle. The trough is to be triangular with a length of 4 m, a height 0.5 m, and a width of 0.8 m. How much wood is required to build it?