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anonymous
 one year ago
I need help!!
Find the volume for the regular pyramid.
V=
anonymous
 one year ago
I need help!! Find the volume for the regular pyramid. V=

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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0are all sides 4 units long? right?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0we have to understand where is the intersection point Pdw:1438359138429:dw between the height of your pyramid and its base. Have you any idea about that?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0I think that P is the common point of the three bisectors of the triangle

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0dw:1438359407990:dw it is the base triangle

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0dw:1438359464896:dw

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0we have to find the measure of the height of your pyramid

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0I don't know, in order to find the height of yopur pyramid I have to find this length: dw:1438359730025:dw namely the distance between each vertex of the triangle and the point P

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0because it looks like it may be 4

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0we have to compute it first

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0I'm pondering...

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0There exists a theorem which states that the distance x is given by the subsequent formula: \[\Large x = \frac{{4\sqrt 3 }}{3}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thats okay i finished the lesson

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0so, in order to compute the height of your pyramid we can apply the theorem of Pitagora: dw:1438360380159:dw

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0there fore we can write this: \[\Large h = \sqrt {{4^2}  {x^2}} = \sqrt {16  \frac{{16 \times 3}}{9}} = ...?\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0oops..therefore*

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0hint: \[\Large h = \sqrt {{4^2}  {x^2}} = \sqrt {16  \frac{{16 \times 3}}{9}} = 4\sqrt {\frac{2}{3}} \] so being the base area A equal to: \[\Large A = \frac{{4 \times 2\sqrt 3 }}{2} = 4\sqrt 3 \] the requested volume V is: \[\Large V = \frac{{A \times h}}{3} = \frac{1}{3} \times 4\sqrt 3 \times 4\sqrt {\frac{2}{3}} = ...?\]
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