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7.2 What Is The Surface Area? Pg. 6 Surface Area of Prisms and Cylinders
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7.2 – What Is The Surface Area? Surface Area of Prisms and Cylinders So far this chapter, you have investigated the names given to three-dimensional solids. Today you will explore different ways to find the surface area of a prism.
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7.6 – NETS AND SURFACE AREA Another way to represent a solid is with a net. When folded, a net will form the three dimensional solid it represents.
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a. With your team, predict what the three- dimensional solid formed by the nets will look like. cylinderTriangular prism cube Rectangular prism
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b. Find the surface area of the prisms by finding the area of each face and adding them together. Don't forget units.
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5 12 5 10 12 10 13 5 10 30 120 130 50 SA = 360cm 2
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18 90 210 180 150 SA = 666m 2
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c. Obtain the resource pages from your teacher. Cut out each net and fold along the lines to create the three-dimensional solids. Label the bases and the height of the prisms.
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Base height
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Base height
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Base height
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Base height
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Base height
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d. Amber has a hard time visualizing the shape. She wants to come up with a formula that will work for any prism. Examine the nets you cut out and come up with a formula that will let you find the surface area of any prism. SA = 2B + PH
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7.7 – SURFACE AREA Use the new formula to find the surface area of each shape.
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30 22 7 SA = 2B + PH SA = 2(30) + (22)(7) SA = 60 + 154 SA = 214m 2
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½(6)(8) = 24 9 SA = 2B + PH SA = 2(24) + (24)(9) SA = 48 + 216 SA = 264ft 2 24 10
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7.8 – TURNING PRISMS What if the bases are not at the top and bottom of the prism? a. Explain how the shape at right is a prism. Is it a rectangular prism? Why or why not? Two congruent parallel bases Triangular prism
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b. Shade in one of the bases of the prism. Then find the base area. 3 30
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c. Find the surface area. Don't forget units.
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7.9 – CYLINDERS What if the base is a circle? Find the surface area of the cylinder. a. How do you find the area of one base? Perimeter?
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b. Change the formula you developed by plugging in the circle formulas. Then find the surface area of the cylinder.
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