Soil and Water Conservation Engineering · Soil and Water Erosion · 2 marks · Numerical answer
Bench terraces are planned on a 15% hill slope. Vertical interval is 2.5 m, riser slope is 1H:1V, and cut equals fill. Find earthwork volume in $\mathrm{m^3/ha}$,rounded to the nearest integer.
Write natural slope fraction $S=.15$ and vertical interval $V=2.5$ m. Total horizontal interval is $H=V/S=16.6667$ m. The riser occupies $V=2.5$ m horizontally, so bench width is $W=H-V=14.1667$ m. For a balanced level bench, the cut section is $A_c=VW/8=4.42708$ m². Terrace length per hectare is $10000/H=600$ m. Earth moved is the cut volume, not cut plus the same fill:$600(4.42708)=2656.25$ m³/ha, rounded **2656**.
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