Mathematics · Statistics
Soil Void Ratio Calculator
Calculate soil void ratio from soil void-space volume and soil solid-particle volume.
Inputs and results stay in this browser. Change one value at a time to explore the relationship.
Calculation steps
- Use c=a/b with soil void-space volume=0.048 and soil solid-particle volume=0.072.
- soil void ratio=0.6666666666666667.
Understand Soil Void Ratio
One idea, three depths
Choose how deeply to explain Soil Void Ratio
Calculate soil void ratio from soil void-space volume and soil solid-particle volume.
Age 5Explain it to a 5-year-oldStart with a picture
Imagine using Soil Void Ratio to answer this question: calculate soil void ratio from soil void-space volume and soil solid-particle volume? Enter soil void-space volume and soil solid-particle volume; the calculator shows soil void ratio. For example: soil void-space volume=0.048 and soil solid-particle volume=0.072 produce soil void ratio=0.6666666666666667. The answer tells you soil void ratio.
Age 15Explain it to a 15-year-oldConnect it to the formula
Soil void ratio divides void-space volume by solid-particle volume in the represented sample. This page evaluates the relationship directly. The rule is c=a/b. Its input values are soil void-space volume, soil solid-particle volume, and the main result is soil void ratio. For example: soil void-space volume=0.048 and soil solid-particle volume=0.072 produce soil void ratio=0.6666666666666667.
CollegeExplain it at college levelState the model precisely
This calculator evaluates the stated soil void ratio relation over the valid real-number domain stated below. The implemented relation is c=a/b, evaluated from soil void-space volume, soil solid-particle volume to produce soil void ratio. Soil void ratio divides void-space volume by solid-particle volume in the represented sample. This page evaluates the relationship directly. Distinguish void ratio from porosity; sample disturbance, coarse fragments, shrink-swell, saturation, trapped air, scale, and volume measurement matter.
Inputs and valid domain
- soil void-space volume must be a finite real number.
- soil solid-particle volume must be a finite real number.
Important boundary: Distinguish void ratio from porosity; sample disturbance, coarse fragments, shrink-swell, saturation, trapped air, scale, and volume measurement matter.
The formula
c=a/b
How the calculator works through it
It substitutes soil void-space volume, soil solid-particle volume into the formula and exposes every numerical step above. The main output is soil void ratio.
Read the result correctly
The soil void ratio is the direct answer to “calculate soil void ratio from soil void-space volume and soil solid-particle volume.” Read it with the units shown beside the inputs; a sign, angle, percentage or rate changes what the number means.
A worked check
soil void-space volume=0.048 and soil solid-particle volume=0.072 produce soil void ratio=0.6666666666666667.
Where this model stops being reliable
Distinguish void ratio from porosity; sample disturbance, coarse fragments, shrink-swell, saturation, trapped air, scale, and volume measurement matter.
Learn it by changing one value
Begin with the worked example, then change one value while keeping the others fixed. Compare the new result and calculation steps to identify which part of the formula changed.
Dictionary terms behind this calculator
Before studying the codeWhat you should know firstUse the calculator immediately, or check the foundations before reading the implementation.
These foundations help you understand why Soil Void Ratio works. They never block the calculator, and “optional” means useful context rather than a hidden requirement.
Hard requirements
- Reading formulas and substituting values
Soil Void Ratio uses c=a/b. You need to recognise what each side represents before substituting the stated inputs or rearranging the relationship.
Review this foundation about 4 min
Strong support
- Averages and representative values
Representative values help you judge what the Soil Void Ratio inputs summarise and what the result can legitimately describe.
Review this foundation about 5 min
Optional enrichment
- Spread and measurement variation
Variation is not always part of the Soil Void Ratio formula, but it helps you judge how stable a reported result may be.
Review this foundation about 6 min
Mathematics → algorithm → program
Implement this calculation in code
These are direct reference implementations of the calculator's principal relationship and first output. They run locally and include a small known-answer check where the language supports it.
Algorithm
- Read soil void-space volume, soil solid-particle volume.
- Evaluate the principal relationship: c=a/b.
- Return soil void ratio and check the domain conditions described above.
Python
from math import *
def soil_void_ratio_calculator(a, b) -> float:
return (a / b)
assert abs(soil_void_ratio_calculator(0.048, 0.072) - 0.6666666666666667) < 1e-6 * max(1.0, abs(0.6666666666666667))
C
#include <assert.h>
#include <math.h>
double soil_void_ratio_calculator(double a, double b) {
return (a / b);
}
int main(void) {
const double expected = 0.6666666666666667;
const double actual = soil_void_ratio_calculator(0.048, 0.072);
assert(fabs(actual - expected) < 1e-6 * fmax(1.0, fabs(expected)));
}
C++
#include <cassert>
#include <cmath>
#include <numbers>
double soil_void_ratio_calculator(double a, double b) {
return (a / b);
}
int main() {
constexpr double expected = 0.6666666666666667;
const double actual = soil_void_ratio_calculator(0.048, 0.072);
assert(std::fabs(actual - expected) < 1e-6 * std::fmax(1.0, std::fabs(expected)));
}
Linux x86-64 assembly
x86-64 NASM · System V ABI · Linux · SSE2 with libm where required
; double soil_void_ratio_calculator(double a, double b)
; Linux x86-64 NASM · System V ABI · first eight doubles in xmm0–xmm7
global soil_void_ratio_calculator
section .text
soil_void_ratio_calculator:
push rbp
mov rbp, rsp
sub rsp, 32
movsd [rbp-8], xmm0
movsd [rbp-16], xmm1
movsd xmm0, [rbp-8]
divsd xmm0, [rbp-16]
movsd [rbp-24], xmm0
movsd xmm0, [rbp-24]
leave
ret
MATLAB
function result = soil_void_ratio_calculator(a, b)
result = (a / b);
end
Wolfram Language
ClearAll[mwCalculate];
mwCalculate[a_, b_] := (a / b);
Continue in mathematical software
The downloaded file includes your current inputs and first calculated result. It is created locally.
Floating-point answers can differ slightly by language, compiler and processor. Compare within a suitable tolerance rather than assuming every decimal representation will be identical.
Supporting sourcesAcademic referencesPrimary standards, textbooks and complete citations
Standards, reading and academic references
Use the calculator as the worked interaction, then consult the primary standards and academic textbooks listed below. MW SysArc links to the original sources; the explanation on this page is original and does not reproduce them.
Introductory Statistics 2e
Read the free OpenStax statistics textbookCite this book
- APA 7
- Illowsky, B., & Dean, S. (2023). Introductory statistics 2e. OpenStax. https://openstax.org/books/introductory-statistics-2e/pages/1-introduction
- MLA 9
- Illowsky, Barbara, and Susan Dean. Introductory Statistics 2e. OpenStax, 2023, https://openstax.org/books/introductory-statistics-2e/pages/1-introduction.
- Chicago author-date
- Illowsky, Barbara, and Susan Dean. 2023. Introductory Statistics 2e. Houston, TX: OpenStax. https://openstax.org/books/introductory-statistics-2e/pages/1-introduction.
OpenStax entries are free to read online. Follow the licence shown on each linked source before redistributing or adapting its content.
Reuse the page responsiblyCite this pageAPA, MLA, Chicago, Harvard, BibTeX and RIS
These formats cite this calculator page itself. They are separate from the academic references above, which support the mathematical method and terminology.
APA 7
MW SysArc. (2026, July 21). Soil Void Ratio Calculator. MW SysArc Tools. https://math.mwsysarc.com/statistics/soil-void-ratio-calculator
MLA 9
MW SysArc. “Soil Void Ratio Calculator.” MW SysArc Tools, 21 July 2026, https://math.mwsysarc.com/statistics/soil-void-ratio-calculator. Accessed 31 Aug. 2026.
Chicago 17
MW SysArc. “Soil Void Ratio Calculator.” MW SysArc Tools. Published July 21, 2026. Accessed August 31, 2026. https://math.mwsysarc.com/statistics/soil-void-ratio-calculator.
Harvard
MW SysArc (2026) ‘Soil Void Ratio Calculator’, MW SysArc Tools. Published 21 July 2026. Available at: https://math.mwsysarc.com/statistics/soil-void-ratio-calculator (Accessed: 31 August 2026).
BibTeX and RIS records
BibTeX
@misc{mwsysarc_soil_void_ratio_calculator_2026,
author = {{MW SysArc}},
title = {Soil Void Ratio Calculator},
howpublished = {MW SysArc Tools},
year = {2026},
url = {https://math.mwsysarc.com/statistics/soil-void-ratio-calculator},
note = {Published July 21, 2026; accessed August 31, 2026}
}RIS
TY - ELEC
AU - MW SysArc
TI - Soil Void Ratio Calculator
T2 - MW SysArc Tools
PY - 2026
DA - 2026-07-21
Y2 - 2026-08-31
UR - https://math.mwsysarc.com/statistics/soil-void-ratio-calculator
N1 - Published July 21, 2026
ER -Clear answers
Frequently asked questions
What does the Soil Void Ratio do?
Calculate soil void ratio from soil void-space volume and soil solid-particle volume.
How does the Soil Void Ratio work?
The calculator applies c=a/b. Soil void ratio divides void-space volume by solid-particle volume in the represented sample. This page evaluates the relationship directly.
What can I learn from the Soil Void Ratio?
It connects the mathematical rule to your chosen numbers and shows each calculation step. Change one input at a time to see how the result responds.
Does MW SysArc receive or store what I enter?
No. The calculation runs locally in your browser. MW SysArc does not receive or store your calculation inputs.
How should I use the result?
Use the steps to understand the method, then verify important school or professional work using the notation and rounding rules required in your setting.
Last reviewed . Calculations tested .