Luigi0210
  • Luigi0210
So I need a bit.. well a lot of help with volume.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Luigi0210
  • Luigi0210
Find the volume of the solid in the fi rst octant bounded by the planes x = 0; y = 0; z = 0; x + 2y + z = 6
Jhannybean
  • Jhannybean
@UnkleRhaukus :)
Luigi0210
  • Luigi0210
|dw:1370500349430:dw|

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UnkleRhaukus
  • UnkleRhaukus
|dw:1370500404254:dw|
Jhannybean
  • Jhannybean
wow his drawings *_*
UnkleRhaukus
  • UnkleRhaukus
(we have oriented our axis differently, rotation)
Luigi0210
  • Luigi0210
I'm totally new to this so :/
UnkleRhaukus
  • UnkleRhaukus
|dw:1370500741236:dw|
Luigi0210
  • Luigi0210
\[V=\int\limits \int\limits \int\limits_{D}^{}1 dV\] Is this the formula we use?
UnkleRhaukus
  • UnkleRhaukus
|dw:1370501620424:dw|
UnkleRhaukus
  • UnkleRhaukus
The volume of a pyramid is \(\frac13bh\)
UnkleRhaukus
  • UnkleRhaukus
|dw:1370502189637:dw|
UnkleRhaukus
  • UnkleRhaukus
the base will be a triangle
UnkleRhaukus
  • UnkleRhaukus
the area of the triangular base is \(\frac12\ell w\) So the volume of a triangular pyramid is \[V=\tfrac13 bh=\tfrac13 \big(\tfrac12\ell w\big)h=\tfrac16\ell wh\]
Luigi0210
  • Luigi0210
Sorry Rhaukus.. I'm still trying to grasp the basics of these types of problems
UnkleRhaukus
  • UnkleRhaukus
ok

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