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A certain unifrom prism is 8 units high and each cross section of this prism is an equialeteral triangle. if all of the edges of the prism s base are 4 units long, what is thw volume of the prism ?

 Jan 1, 2016

Best Answer 

 #2
avatar+128089 
+10

I'm not sure what the term "uniform" refers to, Solveit......but here's the solution

 

Area of an equilateral triangle = the area of the cross-section = (1/2)side^2* sqrt(3)/2  = [sqrt(3)/4] *side^2

 

And the volume of the prism  is ......    Cross- sectional area * Height

 

So......the  volume =

 

[sqrt(3)/4] *(4)^2  * 8  =   [ 32 *sqrt(3) ] units^3

 

 

 

cool cool cool

 Jan 1, 2016
 #1
avatar+2498 
0

A certain unifrom prism is 8 units high and each cross section of this prism is an equialeteral triangle. if all of the edges of the prism s base are 4 units long, what is the volume of the prism ?

 Jan 1, 2016
 #2
avatar+128089 
+10
Best Answer

I'm not sure what the term "uniform" refers to, Solveit......but here's the solution

 

Area of an equilateral triangle = the area of the cross-section = (1/2)side^2* sqrt(3)/2  = [sqrt(3)/4] *side^2

 

And the volume of the prism  is ......    Cross- sectional area * Height

 

So......the  volume =

 

[sqrt(3)/4] *(4)^2  * 8  =   [ 32 *sqrt(3) ] units^3

 

 

 

cool cool cool

CPhill Jan 1, 2016
 #3
avatar+2498 
+5

Thanks CPhill ! :)

 Jan 1, 2016
 #4
avatar+118587 
+10

Hi Solveit  smiley

I think it is supposed to be "uniform prism"

It still does not have any truely mathematical meaning I don't think but I would take it to mean a right prism.

One where the front is at right angles to each side.  One that looks 'uniform'.

 Jan 2, 2016

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