The method
A post hole is just a cylinder with a post standing in the middle of it. The concrete you buy fills everything the post doesn’t. So:
Concrete per hole = hole volume − post volume.
- Hole volume is a cylinder: π × radius² × depth.
- Post volume is the part of the post sitting inside the hole — its width times its width times how deep it’s buried.
- Take one off the other, then multiply by the number of holes.
That’s the whole job. The only place people slip up is forgetting the post takes up space, or using the wrong radius — the hole size is usually given as the width across (the diameter), so halve it before you square it.
- 1 hole
- 2 post
- 3 concrete
Work it out by hand
Take a common fence post hole: 300 mm wide across, dug 600 mm deep, with a 90 mm square timber post buried the full depth.
1. Change to metres (so the answer comes out in m³ and litres cleanly).
- Radius = 300 ÷ 2 = 150 mm = 0.15 m
- Depth = 600 mm = 0.6 m
- Post = 90 mm = 0.09 m
2. Hole volume (the cylinder).
π × 0.15² × 0.6 = 3.1416 × 0.0225 × 0.6 = 0.0424 m³ ≈ 42.4 litres
3. Post volume (the space the post takes up).
0.09 × 0.09 × 0.6 = 0.0049 m³ ≈ 4.9 litres
4. Concrete per hole.
42.4 − 4.9 = 37.5 litres per hole
5. Turn litres into bags. A 20 kg bag of pre-mix makes about 9–10 litres once mixed — the exact number is printed on the bag and changes by product, so check it. Using 10 L per bag:
37.5 ÷ 10 = 3.75 → round up to 4 × 20 kg bags per hole.
6. Multiply by the number of holes. A ten-post fence:
37.5 L × 10 = 375 litres → 375 ÷ 10 = 37.5 → round up to 40 bags for the run.
Always round up — a hole a bit wider or deeper than planned, plus some spillage, eats the difference fast. One spare bag on site beats a second trip to the shop.
Do it in 5 seconds
Sources
- Cylinder volume — standard shapes: volume = π × radius² × depth. No code or rules apply; concrete amounts are just sums.
- How much a bag makes (litres of wet concrete per bag) — set by the
product, check the bag. The ~9–10 L per 20 kg figure used above is a working
average; 25 kg and 40 kg bags make more. If you mix your own on site, the mix
ratio changes it too. (Marked
verifyagainst the actual product before publish.)
Keep going
- Part of the Concrete Calculations: The Complete On-Site Guide — the main page covering every concrete amount you’ll work out on site.
- Next, get the conversion down: How Many Bags of Concrete Per m³? — the same litres-to-bags sums, across 20 kg, 25 kg and 40 kg bags.