Description
Multiply width by the mean of signed leftHeight and rightHeight for signedArea, then multiply by length for signedVolume.
Simple site geometry approximates an area, section, or volume using ideal shapes. Coherent length units and the distinction between signed and unsigned quantities determine the result's meaning.
Multiply width by the mean of signed leftHeight and rightHeight for signedArea, then multiply by length for signedVolume.
When to use this tool
Use Terrace Step Cutfill Cross Section when you need one transparent landscape geometry component.
How to use the tool and how it works
- Enter width, leftHeight, rightHeight, length. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read signedArea, signedVolume. Use the output convention below.
Multiply width by the mean of signed leftHeight and rightHeight for signedArea, then multiply by length for signedVolume.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| width | Width, count, or interval span under the stated formula. | Required. Finite number; minimum 0. |
| leftHeight | Left Height | Required. Finite number. |
| rightHeight | Right Height | Required. Finite number. |
| length | Length, count, or code length under the stated domain and unit convention. | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| signedArea | Signed Area | Required. Finite number. |
| signedVolume | Signed Volume | Required. Finite number. |
{
"input": {
"width": 4,
"leftHeight": 1,
"rightHeight": 2,
"length": 10
},
"output": {
"signedArea": 6,
"signedVolume": 60
}
}Limitations and assumptions
- Use coherent length units; opposite-sign cut and fill can cancel, so this is not separate excavation and fill quantities.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use a surveyed terrain or construction model when irregular shapes, settlement, drainage, and structural performance matter.
References
Similar or alternative tools
- Soil Layer Volume Contribution
Multiply nonnegative area and thickness by includedFraction in [0, 1] for volume.
- Rain Garden Ponding Volume Term
Return depth × (bottomArea + topArea + sqrt(bottomArea × topArea)) / 3, requiring topArea at least bottomArea.