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Learn to find the surface area of prisms and cylinders by understanding nets and calculating total surface area in square units. Practice various exercises to reinforce your knowledge.
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Warm up: Work out the area of these figures. They are not drawn to scale. 7cm 5cm 10cm2 35cm2 5cm 9cm 36cm2 4cm 10 cm 4cm 8 cm 90cm2 12.5cm
13-2 Surface Area of Prisms Workbook Please
If you remove the surface from a three-dimensional figure and lay it out flat, the pattern you make is called a net. Nets allow you to see all the surfaces of a solid at one time. You can use nets to help you find the surface area of a three-dimensional figure. Surface area is the sum of the areas of all of the surfaces of a figure expressed in square units.
Nets Interactions Click to play with nets
Workbook pg 306 (l)(w) l h (l)(w) (l)(w) (l)(h) (l)(h) (w)(h) (w)(h) (l)(w) (w)(h) (l)(h)
6 in. 4 in. 12 in. 12 4. 12 6 4 6 96 144 48 288 288 in squared
Practice p. 308
Work out with your partner 2 (180) + (2)216 +(2) 120 2 (50) + (2)20 + (2) 10 360 + 432 + 240 = 1032 cm2 squared 100 + 40 + 20 = 160 in 2
#5 Another way 7 Area = 7 x 5 Area = 35 5 How many are there? 2!! 2 x 35 = 70 7 Area = 7 x 8 Area = 56 8 How many are there? 1!! 1 x 56 = 56 Sur Area = 70 + 56 + 24 = Area = ½ (8 x 3) Area = 12 Sur Area = 150 ft 2 3 How many are there? 2!! 2 x 12 = 24 8