Pick prismoidal end area trench or grid methods for fast estimates today. View bank loose and compacted volumes then export clear reports instantly always.
Meta: Estimate cut and fill volumes for trenches, pads, stations. Compare methods, adjust swell, shrink, and waste. Export results for field planning and budgeting accurately today.
| Scenario | Method | Key inputs | Bank volume (m³) | Loose volume (m³) | Compacted volume (m³) |
|---|---|---|---|---|---|
| Building pad excavation | Rectangular prism | L=30 m, W=12 m, D=0.6 m, Waste=5% | 226.800000 | 260.820000 (Swell 15%) | 208.656000 (Shrink 8%) |
| Utility trench | Trapezoidal trench | L=50 m, b=0.5 m, d=1.2 m, m=0.5 | 54.000000 | 62.100000 (Swell 15%) | 49.680000 (Shrink 8%) |
| Road section between stations | Prismoidal | Dist=20 m, A1=8, Am=9.2, A2=10.4 | 184.000000 | 211.600000 (Swell 15%) | 169.280000 (Shrink 8%) |
V = L × W × DTop = b + 2·m·d, A = (b + Top)/2 · d, V = A · LV = L · (A1 + A2)/2V = (L/6) · (A1 + 4·Am + A2)V = Σ(CellArea × AvgDepth)Bank' = Bank × (1 + waste%)Loose = Bank' × (1 + swell%)Compacted = Bank' × (1 − shrink%)Earthwork is often the first major cost on a site. A small error in cut or fill can cascade into extra hauling, disposal fees, and schedule delays. Reliable volume estimates help you balance cut and fill, choose equipment sizes, and order borrow material with less contingency.
This calculator supports rectangular pits and trenches, average end area, prismoidal, and a surface grid method. Use rectangular or trench inputs for simple excavations. Use average end area for two cross‑sections along a linear alignment. Use the prismoidal method when you have three sections or a mid‑section because it reduces curvature error.
Field notes may be in feet while drawings are in meters. Keep one unit system through the workflow, then convert the final volume to m³, yd³, or ft³ for reporting. A quick check: 1 m³ is about 1.308 yd³, and 1 yd³ is 27 ft³. Consistent units prevent “looks right” mistakes.
When soil is excavated, it loosens and expands. Typical swell ranges from about 10–25% for granular materials and 20–40% for rock, depending on fragmentation and moisture. Apply swell to estimate loose volume for trucking, stockpiles, and temporary storage areas.
Compaction reduces voids and lowers volume. Shrink values commonly fall around 5–15% for many soils, but they vary with gradation and compaction specification. Apply shrink to translate bank volume into compacted volume for embankments, backfill, and pad construction.
Real sites include trimming losses, unsuitable material, and over‑excavation for proof‑rolling or soft spots. A modest waste factor (often 2–10%) can protect budgets, but it should be justified with geotechnical conditions and the excavation method rather than a fixed habit.
Once volume is known, translate it into truckloads and cycle times. For example, a 10 m³ dump truck needs roughly 100 trips for 1,000 m³ of loose material, before considering swell. Add time for loading, travel, dumping, and queueing to estimate daily production and fleet size.
Cross‑check results against spot elevations, survey grids, or drone surfaces. Record assumptions: method used, section spacing, swell/shrink sources, and waste percentage. Clear documentation supports change orders, improves forecasting, and helps the next phase team avoid repeating the same measurement work.
Use Average End Area when you have two consecutive cross‑sections and constant spacing. Use Prismoidal when you can add a mid‑section or when profiles curve, because it typically improves accuracy for varying shapes.
Bank volume is in-place soil before excavation. Loose volume is after excavation with swell applied. Compacted volume is after placement and compaction with shrink applied. Reporting the correct basis avoids ordering or hauling errors.
Start with geotechnical data if available. If not, use conservative typical ranges for the material type and refine with field observations of stockpile size or truck counts. Moisture and rock fragmentation can shift swell significantly.
Shrink depends on target density and compaction method. Use project specifications and laboratory Proctor results where possible. If you lack data, select a modest value and confirm by comparing placed lift thickness to final compacted thickness.
Yes. Smaller grid cells capture surface variation better but require more data. Use tighter spacing in uneven terrain, near retaining structures, or where grades change rapidly. Coarser spacing is often acceptable on large, uniform pads.
Yes. Treat stripping as a uniform depth over an area using the surface or rectangular approach. Because topsoil is often stockpiled and later respread, consider swell for hauling and a small waste factor for mixing and contamination.
Differences often come from basis (bank vs loose), survey method, moisture changes, or rounding in section spacing. Compare assumptions, confirm unit conversions, and reconcile swell/shrink factors. Documenting the calculation method helps resolve disputes faster.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.