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anonymous

  • one year ago

Find the surface area of the composite solid if the base is a regular hexagon. Round your answer to the nearest hundredth. A.471.53 m2 B.615.53 m2 C.709.06 m2 D.802.59 m2

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  1. anonymous
    • one year ago
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  2. jim_thompson5910
    • one year ago
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    did you first break up the 3D figure into 2 different 3D figures?

  3. anonymous
    • one year ago
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    No. I didnt

  4. anonymous
    • one year ago
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    Am I suppose to multiply the numbers?

  5. jim_thompson5910
    • one year ago
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    let's focus on the hexagonal prism

  6. jim_thompson5910
    • one year ago
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    |dw:1436843876436:dw|

  7. jim_thompson5910
    • one year ago
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    what is the area of each side panel?

  8. jim_thompson5910
    • one year ago
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    |dw:1436844004000:dw|

  9. jim_thompson5910
    • one year ago
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    each side panel looks like this |dw:1436844037861:dw|

  10. anonymous
    • one year ago
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    okay

  11. jim_thompson5910
    • one year ago
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    what is the area of that panel?

  12. anonymous
    • one year ago
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    well is the area of the whole hexagon 93?

  13. jim_thompson5910
    • one year ago
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    93.53 roughly

  14. jim_thompson5910
    • one year ago
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    so that is the bottom face

  15. jim_thompson5910
    • one year ago
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    the top face of the hexagonal prism gets covered up, so it doesn't count

  16. anonymous
    • one year ago
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    okay

  17. jim_thompson5910
    • one year ago
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    each panel is 42 square meters there are 6 of them 42*6 = 252 square meters so far, the total surface area is 93.53+252 = 345.53

  18. jim_thompson5910
    • one year ago
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    we haven't dealt with the pyramid on top though so we're not done yet

  19. jim_thompson5910
    • one year ago
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    what is the area of this triangle here |dw:1436844618751:dw|

  20. anonymous
    • one year ago
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    45

  21. jim_thompson5910
    • one year ago
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    there are 6 such triangles 6*45 = 270 so 270 square meters is the surface area of the pyramid up top (ignoring the bottom face)

  22. jim_thompson5910
    • one year ago
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    in total, the composite 3D figure has 93.53+252+270 = 615.53 square meters of surface area

  23. anonymous
    • one year ago
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    Thank you very much. I posted another question, if you will. Thank you

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