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richardlong369

  • 3 years ago

Find surface Area & Volume of the regular pentagonal pyramid ------> Click on Attachment

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  1. richardlong369
    • 3 years ago
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  2. Mertsj
    • 3 years ago
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    First find the area of the base. The formula is 1/2(perimeter)(apothem)

  3. Mertsj
    • 3 years ago
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    Find that and tell me what you get.

  4. richardlong369
    • 3 years ago
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    177.975

  5. Mertsj
    • 3 years ago
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    Yes. That's what I got.

  6. Mertsj
    • 3 years ago
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    Not we have to find the area of one of those triangles and multiply by 5. I'll draw a picture. We know the base is 10.17 and the slant height is the height of the triangle.

  7. Mertsj
    • 3 years ago
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    |dw:1339278986157:dw|

  8. Mertsj
    • 3 years ago
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    Find the area of that triangle and multiply it by 5

  9. richardlong369
    • 3 years ago
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    127.125

  10. Mertsj
    • 3 years ago
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    Is that one triangle or all 5?

  11. richardlong369
    • 3 years ago
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    one

  12. richardlong369
    • 3 years ago
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    5 would be 635.625

  13. Mertsj
    • 3 years ago
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    Now add the area of the base that we calculated earlier. That should be the total surface area.

  14. richardlong369
    • 3 years ago
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    SA = 762.75 ?

  15. Mertsj
    • 3 years ago
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    What is the area of the base?

  16. richardlong369
    • 3 years ago
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    50.85

  17. richardlong369
    • 3 years ago
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    i mean 635.625

  18. Mertsj
    • 3 years ago
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    What is the area of the 5 triangles?

  19. richardlong369
    • 3 years ago
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    635.625

  20. Mertsj
    • 3 years ago
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    First find the area of the base. The formula is 1/2(perimeter)(apothem)12 minutes ago •Report Abuse Delete 99 Mertsj 0Find that and tell me what you get.11 minutes ago •Report Abuse Delete 43 richardlong369 Best Answer 0177.975

  21. Mertsj
    • 3 years ago
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    If you look back through the posts you will find the area of the base and the area of the 5 triangles. Add them together to get the total area.

  22. richardlong369
    • 3 years ago
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    813.6

  23. Mertsj
    • 3 years ago
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    yes. That is the surface area.

  24. Mertsj
    • 3 years ago
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    Now the volume. Fortunately we are partly done with the volume because we already know the area of the base.

  25. Mertsj
    • 3 years ago
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    So find that number. The area of the base. To find the volume multiply these 3 numbers: 1/3, the area of the base, and the height of the pyramid which is shown in the picture to be what?

  26. richardlong369
    • 3 years ago
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    i got 13361.486

  27. Mertsj
    • 3 years ago
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    What is the height?

  28. richardlong369
    • 3 years ago
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    25

  29. Mertsj
    • 3 years ago
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    That's the slant height. Look at the picture.

  30. richardlong369
    • 3 years ago
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    24

  31. richardlong369
    • 3 years ago
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    its 24

  32. Mertsj
    • 3 years ago
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    The slant height is the height of the triangles that make the pyramid.

  33. Mertsj
    • 3 years ago
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    Yes. 1/3(24)=8 so multiply 8 times the area of the base. What do you get?

  34. richardlong369
    • 3 years ago
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    1423.8

  35. Mertsj
    • 3 years ago
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    That's what I got as well. That would be m^3

  36. richardlong369
    • 3 years ago
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    thankyou

  37. Mertsj
    • 3 years ago
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    yw

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