Surface Area Of Solids

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  • Beginning course details and/or books/materials needed for a class/project.
  • Beginning course details and/or books/materials needed for a class/project.
  • Beginning course details and/or books/materials needed for a class/project.
  • Beginning course details and/or books/materials needed for a class/project.
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  • Surface Area Of Solids

    1. 1. Surface Area of Solids<br />March 22, 2010<br />
    2. 2. Three-Dimensional Figures<br />Prism – a 3D solid with two parallel, congruent faces called bases<br />Pyramid – a 3D solid with one base that is any polygon; the other faces are triangles<br />Cylinder – a 3D solid that has two parallel, congruent circular bases connected with a curved side<br />
    3. 3. Surface Area<br />Surface area refers to the sum of the areas of all the surfaces of a 3D figure. <br />Also called Total Surface Area (TSA)<br />Examples: <br />wrapping paper<br />orange<br />
    4. 4. Lateral Surface Area<br />Lateral surface area of a solid only includes the faces or surfaces that make up the sides of the solid (not the base(s))<br />Examples: <br />Soup can label<br />
    5. 5. With a partner, you will determine the surface area of various geometric solids. <br />How Do You Find the Surface Area of a Solid? <br />
    6. 6. 4*s2 where s = length of side<br />6*s2<br />4*s*h, where s=length of side of base, h = height<br />(2*s2)+(4*s*h)<br />3*s*h, where s=length of side of base, h = height of prism<br />(3*s*h)+(s*a) where a=altitude of triangle<br />3/2*s*l, where s=length of side of base, l=slant height<br />(1/2*s*a)+(3/2*s*l) where a =altitude of triangle at base<br />2*s*l, where s=length of side of base, l=slant height<br />s2 + (2*s*l)<br />2*π*r*h, where r = radius, h = height<br />(2*π*r2)+(2*π*r*h)<br />
    7. 7. Practice <br />Both containers hold about the same amount of pineapple juice. Does the box or the can have a greater surface area? <br />5 cm<br />9 cm<br />9 cm<br />6 cm<br />5 cm<br />
    8. 8. Practice<br />Surface Area of can<br />9 cm<br />6 cm<br />
    9. 9. Practice<br />Surface Area of box<br />5 cm<br />9 cm<br />5 cm<br />
    10. 10. Practice<br />Since 230cm2 > 288.2cm2, the box has a greater surface area. <br />
    11. 11. Practice – Architecture <br />The Louvre museum in Paris has a huge square glass pyramid at the entrance with a slant height of about 92 feet. Its square base is 116 feet on each side. How much glass did it take to cover the pyramid? <br />
    12. 12. Practice<br />Find the lateral area only since the bottom of the pyramid is not covered in glass. <br />92 feet<br />116 feet<br />

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