Work Out How Much Crushed Limestone to Order

This manual limestone calculator guide converts measured dimensions and layer depth into cubic feet, cubic yards, and estimated tons. It also keeps the selected loose bulk density, any allowance, and supplier rounding visible instead of hiding them inside one final number.

The result is always a planning estimate, not a guaranteed order quantity. Published limestone weight assumptions differ materially, so a supplier-provided density for the exact product should take priority over a generic conversion.

Work your own numbers. The Mortar Desk material coverage calculator converts area and depth to cubic yards, tons and bag count for ten materials, with the density it uses cited on every row.

Start with the five figures needed for a limestone estimate

Use this manual worksheet before doing any arithmetic:

Manual limestone calculator inputs

1. Area shape: rectangle, square, circle, triangle, or several sections
2. Dimensions: length and width, radius, or triangle base and perpendicular height
3. Layer depth: identified as either loose placement depth or final compacted depth
4. Loose bulk density: preferably supplied for the exact limestone product
5. Allowance: included only when waste, settlement, or a loose-to-compacted adjustment has been separately justified

For a rectangle, the minimum measurements are length, width, and depth. In a US customary calculation, length and width may be recorded in feet while depth is entered in inches. Convert that depth to feet before calculating volume.

A transparent estimate should show its outputs in this order:

1. Square feet
2. Cubic feet
3. Cubic yards
4. Base estimated weight
5. Allowance and adjusted weight
6. Final supplier-ready order quantity

Do not jump directly from dimensions to rounded tonnage. Intermediate results make it easier to detect an incorrect depth unit, an unsuitable density, a duplicated allowance, or premature rounding.

Cost can be added only after you enter a local price. If the supplier sells by weight, multiply the final estimated weight by the quoted price per ton or tonne. If the supplier sells by volume, use the final cubic yards or cubic metres and the corresponding volume price. Delivery, tax, labor, equipment, and surcharges remain separate unless entered as distinct line items.

Planning estimate—not a design specification

A quantity calculation does not establish the correct limestone grade, structural suitability, drainage arrangement, or finished layer depth. It also cannot guarantee that the estimated quantity will complete the work. Greer Limestone similarly states that its calculator is for estimation and that actual tonnage may be lower or higher than the displayed result. Greer Limestone material-calculator notice

Use drawings, specifications, and established site levels where available. Before ordering, confirm the product name, density basis, target depth, selling unit, minimum order, and dispatch increment with the selected quarry or supplier.

Measure rectangles, circles, and irregular areas

Quantity begins with plan-view area. Choose the shape that best represents each part of the footprint, calculate the sections separately, and then apply the relevant depth.

Rectangles and squares

For a rectangle:

[ \text{Area in square feet} = \text{length in feet} \times \text{width in feet} ]

A square uses the same formula because its length and width are equal.

Measure the actual footprint rather than relying on a nominal driveway, path, or property dimension. If a path changes width, split it into shorter rectangles instead of assigning the entire run an unexplained average width.

Circles

For a circle:

[ \text{Area} = \pi \times \text{radius}^2 ]

The radius is the distance from the center to the edge. It is half the diameter. Entering the full diameter as the radius makes the calculated area four times too large.

For a semicircle, calculate the full circular area and divide by two. Quarter circles and other regular fractions can be treated in the same way.

Triangles

For a triangle:

[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{perpendicular height} ]

The height must meet the selected base at a right angle. Two arbitrary side lengths are not sufficient for this formula.

Triangles are useful for tapered ends, angled parking areas, and landscape beds that narrow toward a point.

Irregular footprints

For an irregular driveway, path, or landscape area:

1. Sketch the footprint.
2. Divide it into rectangles, circles, semicircles, or triangles.
3. Label every dimension.
4. Calculate each section’s area.
5. Apply the appropriate depth to each section.
6. Add the resulting volumes.

Calculate volumes, not only areas, separately when depths differ. A base section at one depth and a top-dressing section at another should not be combined under an unexplained average. An average depth may be acceptable for an early rough estimate, but it must be labeled as an approximation.

Uneven or sloped ground introduces uncertainty that plan-view area alone cannot resolve. A rectangular footprint can contain depressions, crowns, ruts, or excavation levels that vary across the site. Take depth readings at representative points, establish string lines or grade stakes, or work from project drawings. If excavation is incomplete, record that the estimate depends on an assumed finished subgrade.

A section schedule can keep the measurements organized:

Section	Shape	Dimensions	Depth	Area	Volume
A	Rectangle	24 ft × 10 ft	4 in	240 sq ft	Calculate separately
B	Triangle	8 ft base × 5 ft perpendicular height	4 in	20 sq ft	Calculate separately
C	Circle	6 ft radius	2 in	113.10 sq ft	Calculate separately

Keeping the circular section separate prevents its shallower layer from being confused with the two deeper sections.

Convert dimensions into cubic feet, cubic yards, and tons

For a rectangular area measured in feet:

[ \text{Cubic feet} = \text{length in feet} \times \text{width in feet} \times \text{depth in feet} ]

When depth is measured in inches:

[ \text{Depth in feet} = \frac{\text{depth in inches}}{12} ]

Convert cubic feet to cubic yards by dividing by 27:

[ \text{Cubic yards} = \frac{\text{cubic feet}}{27} ]

Then estimate weight using the selected loose bulk density:

[ \text{Estimated short tons} = \text{cubic yards} \times \text{short tons per cubic yard} ]

These volume and tonnage steps are also used by aggregate calculators that convert dimensions to cubic yards and then apply a selected material density. Hilltop Companies aggregate formulas

The complete rectangular formula is:

[ \boxed{ \text{Short tons} = \text{length ft} \times \text{width ft} \times \left(\frac{\text{depth in}}{12}\right) \div 27 \times \text{density in short tons/yd}^3 } ]

For another footprint shape, replace length × width with the appropriate area:

[ \text{Cubic yards} = \frac{ \text{area in square feet} \times (\text{depth in inches} \div 12) }{27} ]

Metric calculation

Keep all metric dimensions in metres:

[ \text{Cubic metres} = \text{length in metres} \times \text{width in metres} \times \text{depth in metres} ]

If density is given in tonnes per cubic metre:

[ \text{Metric tonnes} = \text{cubic metres} \times \text{tonnes per cubic metre} ]

If density is given in kilograms per cubic metre, multiplication produces kilograms. Convert the final result to metric tonnes only after calculating the weight.

Do not mix tons, tonnes, and pounds

A US short ton, a metric tonne, and a UK long ton are different weight units. Pounds and kilograms are smaller units within their respective measurement systems. Do not copy a density expressed in one system into a calculation configured for another.

Label the unit throughout the estimate:

• Short tons per cubic yard for a US customary calculation
• Tonnes per cubic metre for a metric calculation
• Pounds per cubic yard only when the formula is configured to produce pounds
• Kilograms per cubic metre only when the result is intended to be kilograms

Do not rely on the word “ton” by itself. Confirm the unit used in the supplier’s quote and scale ticket.

Round at the end

Retain unrounded values throughout the arithmetic. Rounding cubic yards before density is applied, then rounding weight again before adding an allowance, can gradually alter the result.

Use this sequence:

1. Calculate area without rounding.
2. Convert depth without rounding.
3. Calculate cubic feet or cubic metres.
4. Convert to cubic yards where required.
5. Apply the selected density.
6. Apply any justified allowance.
7. Round once to the supplier’s stated selling increment.

Displayed figures may be shortened for readability, but subsequent calculations should use the underlying unrounded values.

Choose a bulk density that matches the limestone product

There is no single tons-per-cubic-yard conversion that is dependable for every crushed-limestone product.

The relevant value for ordering is normally loose bulk density: the weight of a delivered bulk volume, including the voids between particles. That is not the same as the density of a solid limestone block, which contains no inter-particle voids.

Loose bulk density can change with:

• Particle size
• Gradation
• Proportion of fines
• Moisture
• Particle shape and arrangement
• Void space
• Loose or compacted condition
• Quarry source
• Supplier measurement practices

Two calculators can therefore receive identical dimensions and return different weights.

Published planning assumptions compared

These are published calculator or product assumptions, not universal limestone presets:

Published assumption	Stated context	Appropriate interpretation
1.21 short tons/yd³	Listed for a specific #57 limestone gravel product	Use only as that product page’s estimate. #57 limestone product calculator
1.21 short tons/yd³	Separately listed for a specific #3 limestone product	Do not transfer automatically to other #3 products or quarries. #3 limestone product calculator
1.32 short tons/yd³	Typical loose-limestone value used by one marketplace calculator	A calculator assumption, not a universal standard. Aggregate Markets density table
Approximately 1.4 short tons/yd³	General crushed-limestone estimate published by one supplier	Treat as that supplier’s approximate conversion. Hello Gravel limestone guide
1.55 short tons/yd³	Editable default in a planning calculator	Replace it when a supplier provides an exact product figure. Rock Calculator editable density
1.65 short tons/yd³	Broad coarse-material category covering listed gravel or limestone grades	A category factor rather than a measured density for every listed grade. Kokosing material-category factors
1.75 short tons/yd³	Base-material category covering listed 304, 411, and screenings	A preliminary category estimate from the same table, not a product-specific value. Kokosing base-material factor
2.26 short tons/yd³	Average used by another limestone estimator	A materially heavier calculator assumption that increases estimated weight for the same volume. Billd limestone estimator

The spread does not establish a defensible low-to-high range for limestone generally. It shows that calculators use different products, categories, density bases, and methodologies.

For example, a geometric volume of 5 cubic yards produces:

[ 5 \times 1.21 = 6.05 \text{ short tons} ]

At the heavier published calculator assumption:

[ 5 \times 2.26 = 11.30 \text{ short tons} ]

The footprint and layer depth have not changed. Only the density assumption has changed.

Which density should take priority?

Use this hierarchy:

1. Supplier figure for the exact product and condition
2. Project or test data applicable to that product
3. A supplier’s clearly identified category factor
4. One or more labeled generic planning scenarios

Ask the supplier:

• What is the loose bulk density of this exact product?
• Which units are used?
• Does the value represent loose delivered, stockpiled, or compacted material?
• Does moisture materially affect dispatch weight?
• If the product is sold by scale weight, which volume conversion does the supplier recommend?

Grade names such as #57, #304, crusher run, screenings, and dust do not establish one universal gradation or density across all suppliers and regions. Confirm the quarry’s actual product description.

If no product-specific density is available, present contextual scenarios rather than “light,” “typical,” and “heavy” limestone bands. For example:

• Listed #57-product scenario: 1.21 short tons/yd³
• Editable calculator-default scenario: 1.55 short tons/yd³
• Broad base-material category scenario: 1.75 short tons/yd³

These figures come from different contexts. They are comparison inputs, not general minimum, average, and maximum densities for crushed limestone.

Keep waste, settlement, and compaction allowances separate

Calculate and display the base geometric volume before adding an allowance:

[ \text{Adjusted volume} = \text{base volume} \times (1 + \text{allowance as a decimal}) ]

For a user-selected 5% allowance, the multiplier is 1.05. For 10%, it is 1.10.

If an allowance changes the loose volume to be ordered, adjust that volume and then apply the applicable loose bulk density. Alternatively, multiply the base estimated weight by the same factor. Those routes are equivalent only when the same density applies throughout.

The terms do not mean the same thing

Waste covers material that is spilled, contaminated, left unusable, or otherwise unavailable for the intended layer.

Settlement describes a placed layer changing after placement.

Compaction is the deliberate reduction of void space to reach a required finished condition.

Compression may appear as a calculator label, but the word alone does not establish whether the addition represents compaction, settlement, handling loss, or another effect.

Do not stack percentages automatically. Separate controls for waste, settlement, and compaction do not mean that every control belongs in every estimate.

Published approaches differ:

Published approach	What it shows
User-selected wastage	The percentage is an input rather than a universal requirement.
5%–10% planning margin	Suggested by one calculator for grade variation and compaction.
10% for compaction and settling	Offered by one marketplace calculator as an optional calculation setting. Aggregate Markets allowance setting
15% labeled “compression”	Displayed on the cited #57 and #3 product calculators, without establishing a universal project requirement.

None of these approaches proves that every limestone project needs a 5%, 10%, or 15% addition. The appropriate treatment depends on the product, placement method, handling, subgrade, finished requirement, and the basis of the stated depth.

The central question is:

Does the specified depth mean loose placement depth or final compacted depth?

If a drawing requires a finished compacted layer, do not convert that requirement to a loose order volume using an unexplained generic percentage. Request a project-specific conversion from the supplier, installer, drawings, or responsible designer.

Keep the adjustment removable:

Calculation line	Example format
Base geometric volume	4.80 yd³
Base estimated weight	7.44 short tons
Waste allowance	5%
Allowance effect	0.37 short tons
Adjusted estimate	7.81 short tons
Supplier rounding	Apply stated increment last

Calculate coverage per ton at a stated depth

Coverage per ton is not fixed. It changes with the installed depth and the selected loose bulk density.

For a uniform imperial layer:

[ \boxed{ \text{Square feet per short ton} = \frac{324} {\text{short tons per cubic yard} \times \text{depth in inches}} } ]

The constant 324 comes from the relationship between one cubic yard, square feet, and inches of depth. The formula assumes a uniform layer and includes no additional allowance.

Coverage scenarios

The following scenarios use two contextual density assumptions already cited above. They do not establish universal low and high coverage limits.

Uniform depth	At 1.21 short tons/yd³	At 1.55 short tons/yd³
1 in	268 sq ft/ton	209 sq ft/ton
2 in	134 sq ft/ton	105 sq ft/ton
3 in	89 sq ft/ton	70 sq ft/ton
4 in	67 sq ft/ton	52 sq ft/ton
6 in	45 sq ft/ton	35 sq ft/ton

Assumptions: uniform depth, selected loose bulk density, US short tons, no extra allowance, and no correction for uneven subgrade.

These are mathematical scenarios rather than promises of field coverage. Depressions, crowns, ruts, soft spots, and variable finished levels will change the actual result.

Published examples should also remain separate. Omni Calculator gives approximate coverage of 40–54 square feet per US ton at a 4-inch depth and 175–215 square feet at a 1-inch depth, depending on density. Omni limestone coverage discussion

Hello Gravel publishes roughly 55–60 square feet per ton at a 4-inch depth, while Aggregate Markets gives about 82 square feet per ton at 3 inches. Those figures should not be merged because the sources use different product contexts, density assumptions, and rounding methods.

Reverse the calculation when tonnage is fixed

If you already have a fixed weight:

1. Divide the available short tons by short tons per cubic yard.
2. Multiply cubic yards by 27 to obtain cubic feet.
3. Divide cubic feet by the proposed depth in feet.

In one line:

[ \text{Coverage in square feet} = \frac{ \text{available short tons} \times 324 }{ \text{short tons per cubic yard} \times \text{depth in inches} } ]

For 6 short tons installed at 1.55 short tons per cubic yard and 3 inches deep:

[ \frac{6 \times 324}{1.55 \times 3} = 418.06 \text{ sq ft} ]

That result assumes the entire quantity can be installed at a uniform depth with no unlisted loss or subgrade correction.

Follow the arithmetic through worked examples

These examples keep geometry, density, allowance, and rounding visible.

Rectangular imperial example

Assume a hypothetical area:

• Length: 20 ft
• Width: 10 ft
• Depth: 4 in
• Example planning density: 1.55 short tons/yd³
• Optional user-selected allowance: 10%

1. Calculate area

[ 20 \times 10 = 200 \text{ sq ft} ]

2. Convert depth to feet

[ 4 \div 12 = 0.333333\ldots \text{ ft} ]

3. Calculate cubic feet

[ 20 \times 10 \times 0.333333\ldots = 66.666666\ldots \text{ ft}^3 ]

Displayed:

[ 66.67 \text{ ft}^3 ]

4. Convert to cubic yards

[ 66.666666\ldots \div 27 = 2.469135\ldots \text{ yd}^3 ]

Displayed:

[ 2.47 \text{ yd}^3 ]

5. Estimate base weight

[ 2.469135\ldots \times 1.55 = 3.827160\ldots ]

Base estimate:

[ 3.83 \text{ short tons} ]

The geometric volume remains 2.47 cubic yards when the density changes. Using the cited #57-product factor of 1.21 produces approximately 2.99 short tons. Using the broad base-material category factor of 1.75 produces approximately 4.32 short tons.

6. Apply the optional allowance after showing the base result

[ 3.827160\ldots \times 1.10 = 4.209876\ldots ]

Adjusted planning estimate:

[ 4.21 \text{ short tons} ]

The order quantity must then be rounded according to the selected seller’s actual minimum and dispatch increment. Do not assume whole-ton or fractional-ton rounding until the seller confirms it.

Audit list

• Dimensions: 20 ft × 10 ft
• Depth: 4 inches converted to feet
• Shape formula: rectangle
• Density basis: editable calculator-default scenario
• Allowance basis: optional user selection
• Weight unit: US short tons
• Rounding: full precision retained until display and supplier rounding

Metric example

This example reproduces a sourced calculation structure:

• Length: 10 m
• Width: 3 m
• Depth: 0.1 m
• Selected allowance: 10%
• Example density: 2,410 kg/m³

The source uses those inputs to produce 3.0 cubic metres before allowance, 3.3 cubic metres after allowance, and 7,953 kilograms after applying the example density. Omni Calculator metric example

1. Base volume

[ 10 \times 3 \times 0.1 = 3.0 \text{ m}^3 ]

2. Adjusted volume

[ 3.0 \times 1.10 = 3.3 \text{ m}^3 ]

3. Estimated weight

[ 3.3 \times 2{,}410 = 7{,}953 \text{ kg} ]

That is:

[ 7.953 \text{ metric tonnes} ]

The source presents 2,410 kg/m³ as an example input but does not establish it as the loose delivered density of every crushed-limestone product. Do not use it for an order unless the supplier confirms that the density basis matches the material and condition being purchased.

Audit list

• Dimensions: 10 m × 3 m
• Depth: 0.1 m
• Shape formula: rectangle
• Density basis: sourced example input; loose-delivery basis not established
• Allowance basis: selected 10%
• Weight unit: kilograms and metric tonnes
• Rounding: multiplication completed before display rounding

Circular-area example

Assume:

• Radius: 8 ft
• Depth: 3 in
• Planning density: 1.40 short tons/yd³
• Allowance: none

1. Calculate circular area

[ \pi \times 8^2 = 201.061929\ldots \text{ sq ft} ]

2. Convert depth

[ 3 \div 12 = 0.25 \text{ ft} ]

3. Calculate cubic feet

[ 201.061929\ldots \times 0.25 = 50.265482\ldots \text{ ft}^3 ]

4. Convert to cubic yards

[ 50.265482\ldots \div 27 = 1.861684\ldots \text{ yd}^3 ]

5. Estimate weight

[ 1.861684\ldots \times 1.40 = 2.606358\ldots ]

Planning estimate:

[ 2.61 \text{ short tons} ]

This calculation begins with an 8-foot radius. If 8 feet were the diameter, the correct radius would be 4 feet and the area would be one-quarter as large.

Audit list

• Dimension: 8 ft radius
• Depth: 3 inches converted to feet
• Shape formula: circle using (\pi r^2)
• Density basis: cited supplier-guide planning assumption
• Allowance basis: none
• Weight unit: US short tons
• Rounding: final estimate displayed to two decimal places

Multi-section example with different depths

Assume two adjoining rectangles:

Section A

• 30 ft × 8 ft
• 4 in deep

Section B

• 12 ft × 6 ft
• 2 in deep

Reuse the cited editable-default scenario of 1.55 short tons per cubic yard, with no allowance.

Section A

[ 30 \times 8 \times (4 \div 12) = 80 \text{ ft}^3 ]

[ 80 \div 27 = 2.962962\ldots \text{ yd}^3 ]

Section B

[ 12 \times 6 \times (2 \div 12) = 12 \text{ ft}^3 ]

[ 12 \div 27 = 0.444444\ldots \text{ yd}^3 ]

Combine the volumes

[ 2.962962\ldots + 0.444444\ldots = 3.407407\ldots \text{ yd}^3 ]

Convert to estimated weight

[ 3.407407\ldots \times 1.55 = 5.281481\ldots ]

Planning estimate:

[ 5.28 \text{ short tons} ]

The sections are calculated separately because their depths differ. A simple average of 4 inches and 2 inches would be wrong because the two sections do not have equal areas.

Audit list

• Dimensions: recorded separately for both rectangles
• Depths: 4 inches and 2 inches, converted independently
• Shape formula: two rectangles
• Density basis: editable calculator-default scenario
• Allowance basis: none
• Weight unit: US short tons
• Rounding: section volumes combined before final rounding

Turn the estimate into a supplier-ready order

Calculators can disagree even when the entered dimensions are identical. Common causes include:

• Different tons-per-cubic-yard assumptions
• Different product categories
• Loose depth versus compacted depth
• Included or omitted allowances
• Different definitions of waste, settlement, or compaction
• Short tons versus metric tonnes
• Rounding before the calculation is complete
• Supplier-specific minimums or dispatch increments

Instead of comparing only the final tonnage, compare the assumptions line by line. Start with cubic yards: if two calculators produce the same volume but different weights, density is the likely cause. If their volumes differ, check dimensions, shape, depth conversion, and included allowances.

Calculate material cost without hiding exclusions

If the supplier sells by weight:

[ \text{Estimated material cost} = \text{final estimated weight} \times \text{local price per weight unit} ]

If the supplier sells by volume:

[ \text{Estimated material cost} = \text{final estimated volume} \times \text{local price per volume unit} ]

Do not compare a price per cubic yard directly with a scale-ticket price per ton unless the supplier has provided an applicable density conversion.

Keep these items separate:

• Limestone material
• Delivery
• Fuel or distance surcharge
• Tax
• Labor
• Compaction equipment
• Excavation and disposal
• Geotextile or associated materials
• Testing or professional services

A material-only limestone estimate is not a delivered-project total.

Round for the selected supplier—not for convenience

Calculate the following first:

1. Base geometric quantity
2. Base estimated weight
3. Any justified adjustment
4. Adjusted quantity

Only then apply the seller’s confirmed:

• Minimum order
• Weight or volume increment
• Full-load rule
• Dispatch or scale-ticket requirement

Rounding the base volume upward and then adding an allowance can make the buffer larger than intended. Rounding down because a calculator displays only two decimal places can leave the order short.

Supplier-check worksheet

Item to confirm	Project entry
Product or grade name
Supplier’s product description
Area shape and measured dimensions
Target depth
Is the depth loose or final compacted?
Supplier’s loose bulk density
Density units
Base cubic yards or cubic metres
Base short tons or metric tonnes
Allowance percentage
Reason for allowance
Effect of allowance
Quantity before supplier rounding
Selling unit: scale weight or volume
Minimum order
Ordering increment
Material unit price
Delivery charge or surcharge
Taxes or other charges
Delivery-vehicle access requirements
Overhead, width, slope, or ground restrictions
Confirmed delivered total

Ask whether the seller dispatches by scale weight or volume. Also ask whether the quoted density describes loose delivered material, material in a stockpile, or compacted material. Do not treat those conditions as interchangeable without confirmation.

Drawings, project specifications, subgrade conditions, drainage requirements, and expected loads—not a quantity calculator—must determine the required product and finished depth.

Limestone calculator FAQs

How many tons are in one cubic yard of crushed limestone?

There is no single reliable conversion for every crushed-limestone product. Published calculators use materially different assumptions because their product definitions, category factors, moisture conditions, and density methods differ.

Use the quarry or supplier’s loose bulk density for the exact product whenever possible. If that information is unavailable, calculate several clearly labeled scenarios tied to their actual contexts rather than presenting one generic conversion as exact.

What density should I use for #57, #304, crusher run, or limestone screenings?

Use the loose bulk density supplied for the exact product by the selected quarry. A familiar grade name does not guarantee identical gradation, fines content, moisture, void space, or bulk density across suppliers.

If only a broad category factor is available, label it as a preliminary assumption. Ask whether it represents loose delivered, stockpiled, or compacted material before using it for an order.

Should I add 10% or 15% for compaction and waste?

Not automatically. Waste, settlement, and compaction describe different effects, and applying several generic additions can count the same volume difference more than once.

First determine whether the specified depth is a loose placement depth or a final compacted depth. Then use an adjustment supported by the supplier, installer, drawings, or project requirements. Display the percentage and its effect separately so it can be revised or removed.

Why do two limestone calculators give different tonnage estimates?

They may use different bulk densities, product categories, allowances, depth interpretations, weight units, or rounding sequences.

Compare the cubic-yard results first. If the volumes match but the weights differ, density is usually the main cause. If the volumes also differ, check the entered shape, dimensions, depth conversion, allowance settings, and rounding.

Can I calculate limestone for a circle or an irregular area?

Yes. For a circle, calculate area as (\pi \times \text{radius}^2), then apply depth and convert the resulting volume to weight. Remember that the radius is half the diameter.

For an irregular footprint, divide the site into manageable rectangles, circles, and triangles. Calculate each section separately and add the volumes. Keep sections separate when their depths differ, and record uncertainty caused by uneven or sloped ground.

Final ordering sequence

Use this order of operations:

1. Measure every section of the area.
2. Establish the required depth and whether it is loose or compacted.
3. Calculate the geometric volume.
4. Apply a product-specific loose bulk density.
5. Show any justified allowance separately.
6. Round only to the selected supplier’s selling increment.
7. Confirm the product, density basis, minimum order, selling unit, and delivered price before purchase.

Transparent assumptions are more useful than falsely precise tonnage. Mortar Desk publishes general building-material reference information; as explained on its About page, it is not a contractor and does not provide engineering advice.