Mathematics · Statistics

Rock Quality Designation Calculator

Calculate rock quality designation percentage from sum of qualifying sound core-piece lengths and drilled core-run length.

Runs locally
Your numbers

Inputs and results stay in this browser. Change one value at a time to explore the relationship.

Your inputCalculatedPassed forward in chains
rock quality designation percentage70

Calculation steps

  1. Use c=100a/b with sum of qualifying sound core-piece lengths=2.1 and drilled core-run length=3.
  2. rock quality designation percentage=70.

Understand Rock Quality Designation

One idea, three depths

Choose how deeply to explain Rock Quality Designation

Calculate rock quality designation percentage from sum of qualifying sound core-piece lengths and drilled core-run length.

Age 5Explain it to a 5-year-oldStart with a picture

Imagine using Rock Quality Designation to answer this question: calculate rock quality designation percentage from sum of qualifying sound core-piece lengths and drilled core-run length? Enter sum of qualifying sound core-piece lengths and drilled core-run length; the calculator shows rock quality designation percentage. For example: sum of qualifying sound core-piece lengths=2.1 and drilled core-run length=3 produce rock quality designation percentage=70. The answer tells you rock quality designation percentage.

Age 15Explain it to a 15-year-oldConnect it to the formula

Rock quality designation compares summed qualifying intact core-piece lengths with the drilled run length. This page evaluates the relationship directly. The rule is c=100a/b. Its input values are sum of qualifying sound core-piece lengths, drilled core-run length, and the main result is rock quality designation percentage. For example: sum of qualifying sound core-piece lengths=2.1 and drilled core-run length=3 produce rock quality designation percentage=70.

CollegeExplain it at college levelState the model precisely

This calculator evaluates the stated rock quality designation relation over the valid real-number domain stated below. The implemented relation is c=100a/b, evaluated from sum of qualifying sound core-piece lengths, drilled core-run length to produce rock quality designation percentage. Rock quality designation compares summed qualifying intact core-piece lengths with the drilled run length. This page evaluates the relationship directly. Use the specified minimum piece length and core diameter; drilling breaks, orientation, weathering, soft infill, and run selection affect RQD.

Inputs and valid domain

  • sum of qualifying sound core-piece lengths must be a finite real number.
  • drilled core-run length must be a finite real number.

Important boundary: Use the specified minimum piece length and core diameter; drilling breaks, orientation, weathering, soft infill, and run selection affect RQD.

The formula

c=100a/b

How the calculator works through it

It substitutes sum of qualifying sound core-piece lengths, drilled core-run length into the formula and exposes every numerical step above. The main output is rock quality designation percentage.

Read the result correctly

The rock quality designation percentage is the direct answer to “calculate rock quality designation percentage from sum of qualifying sound core-piece lengths and drilled core-run length.” Read it with the units shown beside the inputs; a sign, angle, percentage or rate changes what the number means.

A worked check

sum of qualifying sound core-piece lengths=2.1 and drilled core-run length=3 produce rock quality designation percentage=70.

Where this model stops being reliable

Use the specified minimum piece length and core diameter; drilling breaks, orientation, weathering, soft infill, and run selection affect RQD.

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 Rock Quality Designation works. They never block the calculator, and “optional” means useful context rather than a hidden requirement.

Hard requirements

  • Reading formulas and substituting values

    Rock Quality Designation uses c=100a/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 Rock Quality Designation 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 Rock Quality Designation formula, but it helps you judge how stable a reported result may be.

    Review this foundation about 6 min
Learn the missing foundationsI already know these — show the code

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

  1. Read sum of qualifying sound core-piece lengths, drilled core-run length.
  2. Evaluate the principal relationship: c=100a/b.
  3. Return rock quality designation percentage and check the domain conditions described above.
Python
            from math import *

def rock_quality_designation_calculator(a, b) -> float:
    return ((100.0 * a) / b)

assert abs(rock_quality_designation_calculator(2.1, 3) - 70) < 1e-6 * max(1.0, abs(70))
          
Current calculator valuesUpdates when you change an input above.
              
            
C
            #include <assert.h>
#include <math.h>

double rock_quality_designation_calculator(double a, double b) {
    return ((100.0 * a) / b);
}

int main(void) {
    const double expected = 70;
    const double actual = rock_quality_designation_calculator(2.1, 3);
    assert(fabs(actual - expected) < 1e-6 * fmax(1.0, fabs(expected)));
}
          
Current calculator valuesUpdates when you change an input above.
              
            
C++
            #include <cassert>
#include <cmath>
#include <numbers>

double rock_quality_designation_calculator(double a, double b) {
    return ((100.0 * a) / b);
}

int main() {
    constexpr double expected = 70;
    const double actual = rock_quality_designation_calculator(2.1, 3);
    assert(std::fabs(actual - expected) < 1e-6 * std::fmax(1.0, std::fabs(expected)));
}
          
Current calculator valuesUpdates when you change an input above.
              
            
Linux x86-64 assembly

x86-64 NASM · System V ABI · Linux · SSE2 with libm where required

            ; double rock_quality_designation_calculator(double a, double b)
; Linux x86-64 NASM · System V ABI · first eight doubles in xmm0–xmm7
global rock_quality_designation_calculator
section .text

rock_quality_designation_calculator:
    push rbp
    mov rbp, rsp
    sub rsp, 48
    movsd [rbp-8], xmm0
    movsd [rbp-16], xmm1
    mov rax, 0x4059000000000000
    movq xmm0, rax
    movsd [rbp-40], xmm0
    movsd xmm0, [rbp-40]
    mulsd xmm0, [rbp-8]
    movsd [rbp-32], xmm0
    movsd xmm0, [rbp-32]
    divsd xmm0, [rbp-16]
    movsd [rbp-24], xmm0
    movsd xmm0, [rbp-24]
    leave
    ret
          
Current calculator valuesUpdates when you change an input above.
              
            
MATLAB
            function result = rock_quality_designation_calculator(a, b)
    result = ((100.0 * a) / b);
end
          
Current calculator valuesUpdates when you change an input above.
              
            
Wolfram Language
            ClearAll[mwCalculate];
mwCalculate[a_, b_] := ((100.0 * a) / b);
          
Current calculator valuesUpdates when you change an input above.
              
            

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 textbook
Cite 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). Rock Quality Designation Calculator. MW SysArc Tools. https://math.mwsysarc.com/statistics/rock-quality-designation-calculator

MLA 9

MW SysArc. “Rock Quality Designation Calculator.” MW SysArc Tools, 21 July 2026, https://math.mwsysarc.com/statistics/rock-quality-designation-calculator. Accessed 31 Aug. 2026.

Chicago 17

MW SysArc. “Rock Quality Designation Calculator.” MW SysArc Tools. Published July 21, 2026. Accessed August 31, 2026. https://math.mwsysarc.com/statistics/rock-quality-designation-calculator.

Harvard

MW SysArc (2026) ‘Rock Quality Designation Calculator’, MW SysArc Tools. Published 21 July 2026. Available at: https://math.mwsysarc.com/statistics/rock-quality-designation-calculator (Accessed: 31 August 2026).

BibTeX and RIS records

BibTeX

@misc{mwsysarc_rock_quality_designation_calculator_2026,
  author = {{MW SysArc}},
  title = {Rock Quality Designation Calculator},
  howpublished = {MW SysArc Tools},
  year = {2026},
  url = {https://math.mwsysarc.com/statistics/rock-quality-designation-calculator},
  note = {Published July 21, 2026; accessed August 31, 2026}
}

RIS

TY  - ELEC
AU  - MW SysArc
TI  - Rock Quality Designation Calculator
T2  - MW SysArc Tools
PY  - 2026
DA  - 2026-07-21
Y2  - 2026-08-31
UR  - https://math.mwsysarc.com/statistics/rock-quality-designation-calculator
N1  - Published July 21, 2026
ER  -

Clear answers

Frequently asked questions

What does the Rock Quality Designation do?

Calculate rock quality designation percentage from sum of qualifying sound core-piece lengths and drilled core-run length.

How does the Rock Quality Designation work?

The calculator applies c=100a/b. Rock quality designation compares summed qualifying intact core-piece lengths with the drilled run length. This page evaluates the relationship directly.

What can I learn from the Rock Quality Designation?

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 .

MW SysArc Certified