SOLUTION: Find the volume of a triangular prism whose base is an equilateral triangle with edges = 5 in. and height = 9 in. using the gizmo provided. Round your answer to the nearest inch.
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-> SOLUTION: Find the volume of a triangular prism whose base is an equilateral triangle with edges = 5 in. and height = 9 in. using the gizmo provided. Round your answer to the nearest inch.
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Question 823819: Find the volume of a triangular prism whose base is an equilateral triangle with edges = 5 in. and height = 9 in. using the gizmo provided. Round your answer to the nearest inch. Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! ---
b = triangle base
b = 5
---
L = prism length
L = 9
---
h = triangle height
h = ???
---
a = area of triangle
a = (1/2)bh
---
v = volume of prism
v = aL
---
h:
5 = sqrt( h^2 + (5/2)^2 )
25 = h^2 + (5/2)(5/2)
25 = h^2 + 25/4
h^2 = 25 - 25/4
h^2 = 100/4 - 25/4
h^2 = 75/4
h = sqrt( 75/4 )
h = 4.330127
---
a:
a = (1/2)bh
a = (1/2)*(5)*(4.330127)
a = 10.8253175
---
v:
v = aL
v = (10.8253175)*(9)
v = 97.4278575
---
answer:
volume = 97.4278575 cu.in
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