Short answer: Subtract the square post’s occupied volume from each round hole, multiply by the number of identical holes, apply the chosen allowance, then divide by finished yield per bag and round up.
Swipe the diagram sideways to see every label. The full calculation is written below it.
Calculate the hole volume
A round hole is a cylinder: π × radius squared × depth. Convert inches to feet first. The post occupies some of the hole, so subtract an approximate post volume over the same depth.
Use the actual bag yield
Concrete bags are sold by weight, but the coverage for this calculation is their finished cubic-foot yield. Read the yield on the product you intend to buy and enter it in the post-hole estimator. The tool rounds up to whole bags.
Confirm the construction details
Hole dimensions depend on the fence, soil, frost conditions, and local requirements. The tool estimates purchase quantity from dimensions you provide; it does not determine a safe post design. Gate posts and unusual conditions deserve a separate on-site check.
Hypothetical worked example
For a 12-inch-diameter, 30-inch-deep cylindrical hole, gross volume is about 1.96 cubic feet. A 3.5-inch square post occupies about 0.21 cubic feet within that depth. The approximate concrete fill is 1.75 cubic feet per post before any loss.
Which situation matches your project?
Limit to check: The formula assumes straight cylindrical holes and square posts over the entered depth. Confirm hole design, local requirements, and utility marks before digging.
Try the focused calculation
Further reading
YardSetup prepared this guide from the stated geometry and the linked references where provided. The adjustable example runs in your browser. See our formulas and limits or report an error.