Audited 27 Jul 2026·Last updated 28 Oct 2026·6 citations·Tier 1·0 uses

French Drain Gravel Calculator

Gravel for a French drain: trench volume less pipe displacement plus waste, in cubic feet, cubic yards, tons and bags, with cost by the yard, ton or bag.

French Drain Gravel Calculator

Subtract pipe displacement from gravel volume
Price unit
Adjusted gravel volume
4.6045
Stone to order in cubic yards, the unit most landscape and bulk suppliers sell by: the adjusted cubic feet divided by 27.
Trench volume
120
Pipe displacement
6.9813
Net gravel volume before waste
113.0187
Adjusted gravel volume
124.3206
Estimated tons
6.4463
Estimated bags
249
Estimated material cost
0.00

Background.

Most of a French drain is rock. The perforated pipe gets the attention, but by volume it is a small part of the job: in an 80-foot trench 12 inches wide holding 18 inches of gravel, a 4-inch pipe takes up about 7 of the 120 cubic feet, under 6 percent. Everything else is washed stone, and the practical question before you dig is how much of it to order, in the unit your supplier actually sells.

The geometry is a long box with a cylinder running through it. Length times width times gravel depth gives the trench volume. Taking out the pipe leaves the space the stone has to fill, and a waste allowance covers what real trenches do: wander wider than planned, dip deeper around roots, and swallow stone into soft ground. The result is then expressed three ways. Landscape yards sell by the cubic yard, quarries and delivery trucks usually sell by weight, and home centres sell bags, so the calculator gives cubic yards, tons and a whole-bag count, plus a material cost if you enter a price.

Those units are not interchangeable. Cubic yards are pure geometry; tons depend on how heavy that particular stone is per yard, which changes with the rock, its size grading and how wet it is. That is why the weight figure needs a density from you, and why the 1.4 tons per cubic yard used by default is a starting point, not a property of all gravel. For the 80-foot example the order comes to about 4.6 cubic yards, 6.4 tons, or 249 half-cubic-foot bags. That last figure is worth a second look before you plan a weekend around it.

What the arithmetic does not do is design the drain. Where the water goes, how much fall the pipe needs, whether the outlet is allowed to discharge where you plan, and whether the problem calls for a dry well or foundation work are separate decisions. Have buried utilities marked before any digging; in the US that is a free call to 811.

What is french drain gravel calculator?

French drain gravel is the stone envelope that surrounds and covers the perforated pipe in a drainage trench. Water seeps through the surrounding soil into the open spaces between the stones, runs down to the pipe and is carried away. The stone is normally clean and washed, because fine particles fill those spaces and slow the drain, and it is often wrapped in a non-woven geotextile that keeps the soil out. In this calculator the gravel depth is the height of that stone layer only; any topsoil, sod or decorative cap above it is not counted.

How to use this calculator.

  1. Measure the drain length in feet along the route the trench will actually follow, including bends and the run out to the outlet.
  2. Enter the trench width and gravel depth in inches. Use the width the spade or trencher really cuts, and only the depth that will be filled with stone, not the soil you put back on top.
  3. Enter the pipe's outside diameter and leave the pipe subtraction on. For a stone-only drain with no pipe, switch the subtraction off, since it needs a diameter greater than zero.
  4. Set the waste allowance: the default 10% suits a reasonably neat trench; go higher for hand-dug trenches in rocky or soft ground, where the cut is rarely straight.
  5. Ask your supplier for the tons-per-cubic-yard figure for the exact stone you are buying, and read the bag volume off the bag if you are buying retail.
  6. To see a cost, enter the price your supplier quoted and pick whether it is per cubic yard, per ton or per bag. The figure covers stone only, not delivery, pipe or fabric.

The formula.

Yd³ = (L × W × D − πr²L) × (1 + w) ⁄ 27

Width W and depth D are entered in inches, so each is divided by 12 to put everything in feet. The trench volume is V = L × (W ÷ 12) × (D ÷ 12) cubic feet, where L is the drain length. With the subtraction switched on, the pipe is treated as a solid cylinder of outside diameter d: its volume is π × (d ÷ 24)² × L, the d ÷ 24 being the radius in feet. The whole outside volume comes off, because stone can no more get inside the pipe than into the pipe wall.

Net gravel is V minus the pipe. The waste allowance w then multiplies it by (1 + w ÷ 100), so 10% means × 1.10. Note the order: waste is added after the pipe is taken out. Dividing by 27, the number of cubic feet in a cubic yard, gives the cubic-yard figure. Tons are cubic yards multiplied by the density you entered, so any gap between that density and your supplier's carries straight through to the weight. Bags are the adjusted cubic feet divided by the bag volume and rounded up to a whole bag.

The cost multiplies the price by the quantity in the unit you chose: cubic yards, tons or whole bags. Pricing by the bag therefore charges for the rounded-up count, and pricing by the ton inherits any error in the density. Width and depth scale the result in direct proportion, so a trench cut 50% wider needs nearly 50% more stone; the pipe term is small by comparison. The calculator refuses a pipe wider than the trench or deeper than the gravel depth, since that would give a negative volume. One thing is outside the formula: it treats the stone as the bulk volume you buy, ignoring the empty space between stones that matters for water storage.

A worked example.

Example

The example drain runs 80 feet in a trench 12 inches wide filled with 18 inches of stone, around a 4-inch pipe, with a 10% waste allowance, stone at 1.4 tons per cubic yard and bags holding 0.5 cubic feet. In feet the cross-section is 1 by 1.5, so the trench holds 80 × 1 × 1.5 = 120 cubic feet. The pipe's radius is 2 inches, or 0.1667 feet, and π × 0.1667² × 80 = 6.98 cubic feet of pipe come out, leaving 113.02 cubic feet of stone. Adding 10% gives 113.02 × 1.10 = 124.32 cubic feet, and 124.32 ÷ 27 = 4.60 cubic yards. At 1.4 tons per yard that is 4.60 × 1.4 = 6.45 tons. In bags, 124.32 ÷ 0.5 = 248.64, which rounds up to 249. Per foot of drain this cross-section takes about 1.55 cubic feet of stone with waste included, which is a handy figure for pricing other runs of the same trench. The pipe hardly moves the order: switching the subtraction off raises it only to 4.89 cubic yards. The width moves it a great deal. Cut the same trench 18 inches wide and the order becomes 7.05 cubic yards, half again as much stone, which is why measuring the trench you actually dug pays off more than any other input.

subtract Pipe Displacement1
pipe Diameter In4
drain Length Ft80
tons Per Cubic Yard1.4
gravel Depth In18
trench Width In12
waste Percent10
bag Volume Ft30.5

Frequently asked questions.

How much gravel does a French drain need per foot?
It depends entirely on the trench section. For a 12-inch-wide trench with 18 inches of stone around a 4-inch pipe, it is about 1.41 cubic feet per foot before waste and 1.55 with 10% added, roughly 0.058 cubic yards. A 100-foot run of that section therefore needs about 5.76 cubic yards. Change the width or depth and the per-foot figure changes in proportion.
Is it worth subtracting the pipe from the gravel volume?
For small pipes it makes little difference. A 4-inch pipe in a 12-by-18-inch trench is under 6% of the volume; a 6-inch pipe in the same trench is 15.71 cubic feet over 80 feet, about 13%. Leaving the subtraction off is a simple way to add a margin, and it saves a return trip if the trench came out larger than planned.
Why do suppliers quote different tons for the same cubic yards?
Because weight per yard depends on the stone. Rock type, the size range of the pieces, how much they pack together and whether the pile is wet all change the tons-per-yard figure. The calculator multiplies by whatever density you enter, defaulting to 1.4, so ask the supplier which figure they use for that product and enter it before converting to tons.
Should I buy bags or have stone delivered?
The bag count answers that for you. The 80-foot example needs 249 half-cubic-foot bags, each of which has to be lifted, carried and emptied; bulk stone arrives as one pile. Bags suit short runs and places a truck cannot reach. Remember that the count is rounded up to a whole bag and that pricing by the bag charges for every bag in that count.
What kind of stone should go in a French drain?
Clean, washed stone without fines, so the gaps between pieces stay open for water. Many suppliers sell washed No. 57 stone for drainage work, a graded mix running from about one inch down to roughly three-sixteenths of an inch. Follow the pipe or drain-system maker's instructions where they specify a material. The choice of stone does not change the cubic-yard figure, but it does change the tons, so update the density.
Does lining the trench with fabric change the amount of gravel?
No. A geotextile is thin enough that it takes no meaningful volume, so the stone quantity is the same with or without it. The fabric itself is a separate purchase: you need enough to line the bottom and both sides and fold over the top of the stone, plus overlap at joins, multiplied by the drain length. The calculator does not estimate fabric.
What waste allowance should I use?
The 10% default is a reasonable allowance for a trench cut cleanly by a machine. Hand-dug trenches, stony ground that breaks out unevenly and soft soil that lets the bottom layer of stone sink all argue for more. The allowance is applied after the pipe is subtracted, so it scales only the stone, and you can see its effect by comparing the net and adjusted volumes.
Does the calculator work out the slope or the pipe size?
No. It assumes the trench section and pipe have already been chosen. A drain needs enough fall along its length to carry water to an outlet that can legally take it, and the pipe and outlet have to handle the flow you expect. Those decisions depend on the site, the water source and local rules, and may need a contractor or engineer.
Can I use it for a dry well or an infiltration trench?
For the stone order, yes, if the bed is rectangular. Sizing such a system is a different calculation: storage depends on the empty space between stones, and the design depends on the area draining to it, the rainfall, how fast the soil absorbs water and where overflow goes. Philadelphia Water's guidance on subsurface trenches shows the kind of detail involved.
Do gravel-free French drain kits need this calculation?
No. Products such as NDS's EZflow replace loose stone with netted bundles of lightweight engineered aggregate already packed around a slotted pipe, sold in fixed lengths. You order those by the foot of drain, following the maker's trench dimensions, so the cubic yards, tons and bag counts here do not apply to them.

How this page was produced

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Quanta Calculator
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Method
Yd³ = (L × W × D − πr²L) × (1 + w) ⁄ 27
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