Cross-section 33541

How many m3 of soil must be moved when digging a straight trench 170 m long, the cross-section of which is an isosceles trapezoid with bases of 150 cm and 80 cm, and arms are 90 cm long?

Correct answer:

x =  162.1 m3

Step-by-step explanation:

l=170 m a=150 cm m=150:100  m=1.5 m c=80 cm m=80:100  m=0.8 m r=90 cm m=90:100  m=0.9 m  x=(ac)/2=(2354)/2162.1 m h=r2x2=0.92162.120.8292 m  S1=2a+c h=21.5+0.8 0.82920.9535 m2  x=S1 l=0.9535 170=162.1 m3

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