SOLUTION: a shipping carton has the shape of a right triangular prism. the length of the carton is 5 times the shorter leg of the right triangular base. the longer leg of the base is 1.5 tim
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Question 1190641: a shipping carton has the shape of a right triangular prism. the length of the carton is 5 times the shorter leg of the right triangular base. the longer leg of the base is 1.5 times the shorter leg. if the volume of the carton is 6480 cubic inches, what is the length of the carton
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
a shipping carton has the shape of a right triangular prism. the length of the carton is 5 times the shorter leg of the right triangular base. the longer leg of the base is 1.5 times the shorter leg. if the volume of the carton is 6480 cubic inches, what is the length of the carton
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x = short leg
L = 5x
y = longer leg = 1.5x
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Volume = Area of triangle * length
Area = (x*y/2)
Vol = (x*1.5x/2)*5x = 6480
Multiply by 4
3x^2*5x = 25920
15x^3 = 25920
x^3 = 1728
x = 12
Length = 60 inches
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