# Gutter

How much metal is needed for production 60 pieces of gutter pipes with the diameter 17 cm and length of 6 m? The plate bends add 6% of the material.

Result

S =  203.8 m2

#### Solution:

$n = 60 \ \\ D = 17 \ cm = 17 / 100 \ m = 0.17 \ m \ \\ l = 6 \ m \ \\ \ \\ q = 6 \% = 1 + \dfrac{ 6 }{ 100 } = 1.06 \ \\ \ \\ o = \pi \cdot \ D = 3.1416 \cdot \ 0.17 \doteq 0.5341 \ m \ \\ S_{ 1 } = o \cdot \ l = 0.5341 \cdot \ 6 \doteq 3.2044 \ m^2 \ \\ \ \\ S = n \cdot \ S_{ 1 } \cdot \ q = 60 \cdot \ 3.2044 \cdot \ 1.06 \doteq 203.8014 = 203.8 \ m^2$

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