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anonymous

  • 5 years ago

The solid is similar to a larger solid with the given scale factor. find the surface area and volume of the larger solid

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  1. anonymous
    • 5 years ago
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  2. anonymous
    • 5 years ago
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    Ok so basically it's asking what dimensions you will have after you scale it. So the first one is supposed to be 2 times as large as your original. You are given surface area of your original shape and the volume of your original shape. What do you have to do to scale the shape properly?

  3. anonymous
    • 5 years ago
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    i dont know

  4. anonymous
    • 5 years ago
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    Well lets think about it. Lets say you have a flat square that is 2 foot length by 2 foot width. This square has a surface area of 4 feet squared.

  5. anonymous
    • 5 years ago
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    Now if you increased your dimensions by 2, you would have a 4 feet x 4 feet square. This would give us 16 feet squared as our surface area. If you see, 16 is simply 4 squared.

  6. anonymous
    • 5 years ago
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    By increased dimensions i mean multiplied by 2 to double it's dimensions

  7. anonymous
    • 5 years ago
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    So since our length and width was doubled, our original area was squared to give us our new surface area.

  8. anonymous
    • 5 years ago
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    ok so 2*208pi

  9. anonymous
    • 5 years ago
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    Ok forget what I said. If we are doubling our dimensions we need to actually multiply our surface area that we are given by 4. Sorry about that it's been a long time since I've done this stuff.

  10. anonymous
    • 5 years ago
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    So we would multiply 208pi by 4.

  11. anonymous
    • 5 years ago
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    208*pi*4=2612.48

  12. anonymous
    • 5 years ago
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    ?

  13. anonymous
    • 5 years ago
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    Yes

  14. anonymous
    • 5 years ago
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    so that would be the surface area?

  15. anonymous
    • 5 years ago
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    And for the Volume we need to multiply by a factor of eight since we are scaling by 2.

  16. anonymous
    • 5 years ago
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    Yes that is your surface area.

  17. anonymous
    • 5 years ago
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    320*pi*8=8038.4

  18. anonymous
    • 5 years ago
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    The units of surface area will be inches squared in this case, and Volume will be inches cubed.

  19. anonymous
    • 5 years ago
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    Seems good to me.

  20. anonymous
    • 5 years ago
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    can we do the circle of triangle cuz i think i can do the rectangle

  21. anonymous
    • 5 years ago
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    Hang on.

  22. anonymous
    • 5 years ago
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    ok

  23. anonymous
    • 5 years ago
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    Ok the cone is a 3:4 scale, which means we are enlarging the object by a factor of 1/3

  24. anonymous
    • 5 years ago
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    Actually it's a factor of 4/3. Now since your scale factor is 4/3, you will square 4/3 for the number you need to multiply your original area to find your new area.

  25. anonymous
    • 5 years ago
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    And for your volume, you need to cube 4/3 to find your number that you need to multiply your original volume by to get your new volume.

  26. anonymous
    • 5 years ago
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    so 96*pi*

  27. anonymous
    • 5 years ago
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    it would be 96pi times (4/3) squared. To square 4/3 you just square the top and bottom. You would get 16/9. so 96pi * (16/9)

  28. anonymous
    • 5 years ago
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    so 535.89cm squared

  29. anonymous
    • 5 years ago
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    sure. and for the volume we cube (4/3) and multiply it by our original volume.

  30. anonymous
    • 5 years ago
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    4/3 cubed would be

  31. anonymous
    • 5 years ago
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    well 4 cubed over 3 cubed

  32. anonymous
    • 5 years ago
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    64/27

  33. anonymous
    • 5 years ago
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    Yes :)

  34. anonymous
    • 5 years ago
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    so then for volume i get 714.52cm cubed

  35. anonymous
    • 5 years ago
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    Yup

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