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Find the volume of the triangular prism.​

 

 Mar 9, 2021
 #1
avatar+944 
+1

longer leg of triangle = sqrt(20^2 - 10^2) = 10sqrt(3)

 

 

Volume = Base * Height

 

= (10 * 10sqrt(3)/2) * 16

 

800sqrt(3) ft^3 or 1358.64 ft^3

 Mar 9, 2021
 #2
avatar+31195 
+1

Find height with pythagorean theorem

 

 Sqrt (20^2 - 10^2= sqrt 300

 

area of trainagle  = 1/2 b * h

                            = 1/2 10 * sqrt 300

 

and multiply by the 'depth' of 16 ft to find the volume

   1/2 * 10 * sqrt300 * 16 = 1385.64 ft3

 Mar 9, 2021

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