Example Tool
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Estimate the concrete needed around embedded posts in round post holes — fence, gate, deck, pergola, mailbox and sign posts — with the post volume subtracted, bag quantities and optional cost.
Post hole estimate
Enter the hole diameter and depth, your post dimensions and how many holes you are setting. BuildCalcWorks subtracts the space the embedded post occupies, so you get the concrete that actually goes around it.
Actual holes may be wider, tapered or irregular. The calculator models the hole as a uniform cylinder based on the diameter and depth entered. BuildCalcWorks estimates concrete quantity from dimensions you provide. Hole diameter, depth, post size and structural requirements should be determined from your project requirements, applicable codes or qualified professional guidance.
First calculate the volume of the cylindrical hole, then subtract the volume taken up by the embedded part of the post. Concrete only fills what is left: Concrete = Hole Volume − Embedded Post Volume. For several identical holes, Total = Concrete Per Hole × Number of Holes, and your waste allowance is applied to that total.
Measurements are normalized before multiplying, so you can mix inches, feet, centimeters and meters freely. The hole uses the full-precision value of π, and only displayed figures are rounded.
12 in diameter hole, 3 ft deep, 4 × 4 in post
Hole: π × 0.5² × 3 ≈ 2.36 ft³
Post: 0.333 × 0.333 × 3 ≈ 0.33 ft³
Concrete: 2.36 − 0.33 ≈ 2.02 ft³ per hole
The post occupies space inside the hole, and concrete only fills the space remaining around it. A calculator that uses the full cylindrical hole volume therefore overstates the concrete needed — noticeably so for a chunky post in a modest hole. BuildCalcWorks subtracts the embedded post volume and shows both figures so you can see the difference.
For a round post, the cross-sectional area is π × radius², using half the post diameter. For a square or rectangular post it is simply width × thickness. Enter the actual measured dimensions of your posts rather than nominal lumber sizes — a post sold as 4 × 4 is often smaller than 4 in on each face, and this calculator uses exactly what you type.
The calculation assumes a constant diameter, vertical sides and a uniform depth. Hand-dug and augered holes often flare, taper or wander, so the real hole can hold more concrete than a perfect cylinder of the same nominal size. This is one reason a waste allowance can be useful.
Disclaimer: BuildCalcWorks estimates concrete quantity from dimensions you provide. Hole diameter, depth, post size and structural requirements should be determined from your project requirements, applicable codes or qualified professional guidance. Read full Disclaimer.
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Disclosure: BuildCalcWorks may earn a commission from qualifying purchases made through links on this page, at no additional cost to you.
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