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Kailee1423

  • one year ago

Find the volume of the square pyramid shown. Round to the nearest tenth if necessary. (Pic in comments)

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  1. Kailee1423
    • one year ago
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    @phi

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  2. phi
    • one year ago
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    do you know the formula for the volume of a pyramid?

  3. phi
    • one year ago
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    It should be in your notes. or see http://www.basic-mathematics.com/volume-of-a-pyramid.html

  4. Jhannybean
    • one year ago
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    Just curious, why is it divided by 3?

  5. Kailee1423
    • one year ago
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    1/3Bh is the formula and I did it and got 55 but it was wrong

  6. phi
    • one year ago
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    B is short for the area of the base. in this case the area of a square with sides = 11

  7. Kailee1423
    • one year ago
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    bh isnt base*height?

  8. Jhannybean
    • one year ago
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    It is.

  9. Kailee1423
    • one year ago
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    Oh there is something in my book about b being area of the base in a problem

  10. phi
    • one year ago
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    in the formula for the volume of a pyramid 1/3 Area of base times height the area of the base is sometimes abbreviated to B this is confusing. it does not mean the length of a side. It is just a "reminder" (which means you have to memorize this) B is AREA of the the base

  11. Kailee1423
    • one year ago
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    So instead of B being 11, it would be 11*11?

  12. phi
    • one year ago
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    exactly

  13. Kailee1423
    • one year ago
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    After doing that, the volume should be 605

  14. phi
    • one year ago
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    yes, 15/3 * 11*11 = 5*121= 605 putting in the units 605 cm^3 or 605 cc

  15. Kailee1423
    • one year ago
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    Thanks again! I'll make another question lol

  16. phi
    • one year ago
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    **Just curious, why is it divided by 3?*** @Jhannybean I am sure we can derive it with calculus, and maybe just geometrically But I remember Archimedes found the volume of a cone was 1/3 the volume of the enclosing cylinder, and he was so proud of finding that, he had it engraved on his tombstone.

  17. Jhannybean
    • one year ago
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    Oh, nice.

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