Survey Engineering

TIN-Based Cut/Fill Volume Between Two Triangulated Surfaces calculator

TIN-Based Cut/Fill Volume Between Two Triangulated Surfaces engineering calculator.

Runnable This tool can run, but independent engineering verification has not been established.

Quick Answer

Calculate TIN-Based Cut/Fill Volume Between Two Triangulated Surfaces

Calculator

Cut/Fill Volume for Triangle (m³)
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Result Interpretation

TIN-Based Cut/Fill Volume Between Two Triangulated Surfaces calculator computes Cut/Fill Volume for Triangle in m³ using the defined engineering formula and the input values provided. Cut/Fill Volume for Triangle is expressed in m³. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Elevation of Surface 1 at Vertex A = 10
  • Elevation of Surface 1 at Vertex B = 10
  • Elevation of Surface 1 at Vertex C = 10
  • Elevation of Surface 2 at Vertex A = 8
  • Elevation of Surface 2 at Vertex B = 8
  • Elevation of Surface 2 at Vertex C = 8
  • Planar Area of Triangle = 30

Expected Result:

  • Cut/Fill Volume for Triangle = 90

Engineering Interpretation:

Under the given input conditions, the calculated result is: Cut/Fill Volume for Triangle = 90 m³.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.

Formula / Method

cut/fill volume for triangle = 0.5 * abs((elevation of surface 1 at vertex a - elevation of surface 2 at vertex a) + (elevation of surface 1 at vertex b - elevation of surface 2 at vertex b) + (elevation of surface 1 at vertex c - elevation of surface 2 at vertex c)) * planar area of triangle

Formula family: formula_survey_volume_calculation_between_two_surfaces_tin_based_cutfill

Variables

SymbolLabelRoleDescription
z1_a Elevation of Surface 1 at Vertex A INPUT Elevation of Surface 1 at Vertex A
z1_b Elevation of Surface 1 at Vertex B INPUT Elevation of Surface 1 at Vertex B
z1_c Elevation of Surface 1 at Vertex C INPUT Elevation of Surface 1 at Vertex C
z2_a Elevation of Surface 2 at Vertex A INPUT Elevation of Surface 2 at Vertex A
z2_b Elevation of Surface 2 at Vertex B INPUT Elevation of Surface 2 at Vertex B
z2_c Elevation of Surface 2 at Vertex C INPUT Elevation of Surface 2 at Vertex C
area_tri Planar Area of Triangle INPUT Planar Area of Triangle
volume Cut/Fill Volume for Triangle OUTPUT Cut/Fill Volume for Triangle

Calculation Steps

  1. Enter the elevation of surface 1 at vertex a in m.
  2. Enter the elevation of surface 1 at vertex b in m.
  3. Enter the elevation of surface 1 at vertex c in m.
  4. Enter the elevation of surface 2 at vertex a in m.
  5. Enter the elevation of surface 2 at vertex b in m.
  6. Enter the elevation of surface 2 at vertex c in m.
  7. Enter the planar area of triangle in m².
  8. Step 1: Compute cut/fill volume for triangle.
  9. Read the cut/fill volume for triangle (m³) from the results.

Engineering Summary

Calculate TIN-Based Cut/Fill Volume Between Two Triangulated Surfaces

Frequently Asked Questions

What does this calculator calculate?

The TIN-Based Cut/Fill Volume Between Two Triangulated Surfaces calculator estimates Cut/Fill Volume for Triangle based on the input parameters you provide

Why is elevation of surface 1 at vertex a important in this calculation?

elevation of surface 1 at vertex a is used directly in the calculation of cut/fill volume for triangle. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter elevation of surface 1 at vertex a in m, the calculator uses it in the engineering formula to compute the output

How should I interpret the result cut/fill volume for triangle?

The calculator outputs cut/fill volume for triangle in m³. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Elevation of Surface 1 at Vertex A (m), Elevation of Surface 1 at Vertex B (m), Elevation of Surface 1 at Vertex C (m), Elevation of Surface 2 at Vertex A (m), Elevation of Surface 2 at Vertex B (m), Elevation of Surface 2 at Vertex C (m), Planar Area of Triangle (m²). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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