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Calculate the volume of earthwork between two sections 40 m apart, if the mid sectional area between the sections is 15 m 2 .
750 m┬│
600 m┬│
500 m┬│
450 m┬│
600 m┬│
The volume of earthwork between two sections can be calculated using the Mean Sectional Area method (Prismoidal or Mid-section formula). Given the length (distance between sections) L=40┬аm and the mid-sectional area AmтАЛ=15┬аm2, the volume V is the product of the mid-sectional area and the distance between the two sections.
IS 1200 (Part 1): 1992 - Method of Measurement of Building and Civil Engineering Works
The volume of earthwork between two sections can be calculated using the Mean Sectional Area method (Prismoidal or Mid-section formula). Given the length (distance between sections) L=40┬аm and the mid-sectional area AmтАЛ=15┬аm2, the volume V is the product of the mid-sectional area and the distance between the two sections.
V=AmтАЛ├ЧL тАФ where V is the volume of earthwork, AmтАЛ is the mid-sectional area, and L is the distance between sections.
According to the Prismoidal formula or the mid-sectional area formula for earthwork, V=AmтАЛ├ЧL. This assumes that the cross-sectional area varies linearly or represents the average profile between the two specified chainages, providing an efficient estimation for civil engineering projects.
The mid-sectional area method is a simplified approach for calculating volumes in earthwork.
The volume calculation is sensitive to the accuracy of the area measurement at the midpoint.
This method is widely used in highway engineering and railway construction for embankment or cutting estimations.
Simplicity in calculation compared to the Prismoidal formula.
Requires only one intermediate area measurement rather than full cross-sections at ends.
Less accurate than the Prismoidal formula if the cross-sectional area changes significantly or non-linearly.
Limited for complex terrain profiles.
Calculation of earthwork for roads and railway tracks.
Estimation of excavation volumes in construction sites.
Calculation: V=15┬аm2├Ч40┬аm=600┬аm3.
Option B (600 m3) is correct because it matches the result of the product of area and distance.
B is correct тАФ the volume is calculated as the product of the mid-sectional area and the distance between the two sections, resulting in 15├Ч40=600┬аm3.
Always verify if the question provides the mid-sectional area directly or requires you to calculate it from the end areas using 2A1тАЛ+A2тАЛтАЛ before multiplying by the length.
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