Cement Calculator
Estimate cement bags, sand, and aggregate from slab size and a mix ratio.
Formula used
wet volume (m³) = length × width × thickness
dry batch volume (m³) = wet volume × 1.54
cement volume = dry × (cement parts / total parts)
cement mass = cement volume × 1440 kg/m³
sand / aggregate mass = their volume × 1600 / 1500 kg/m³
water (kg) = cement mass × 0.5
bags (50 kg) = ceil(cement mass / 50)
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Worked example
Slab: 10 ft × 10 ft × 4 in Ratio: 1:2:4
Wet: 2.54 m × 2.54 m × 0.102 m ≈ 0.658 m³
Dry: 0.658 × 1.54 ≈ 1.013 m³ Cement vol: 1.013 × (1/7) ≈ 0.145 m³
Cement mass: 0.145 × 1440 ≈ 208 kg → 5 × 50 kg bags
Sand: 1.013 × (2/7) × 1600 ≈ 463 kg Aggregate: 1.013 × (4/7) × 1500 ≈ 869 kg
Unlike a ready-mix delivery that shows up as one homogeneous pour, batching your own concrete means buying and hauling three separate dry materials — cement, sand, and coarse aggregate — plus water, and combining them on site. The cement calculator exists for exactly this workflow. It takes the finished size of your slab, wall, or footing and works backward to the loose, dry quantities of each ingredient you need to mix. The reason this matters is that you purchase those materials differently: cement comes in bags sold by weight, sand and aggregate by the ton or cubic yard, and each has its own bulk density. A single cubic-yard figure would not tell you how many 50 kg bags to lug home or how much sand to order from the pit. By splitting the total into its parts, the calculator gives you a shopping list you can actually act on, and it doses the water as a ratio of the cement mass so the mix stays workable rather than soupy. If you have only ever ordered ready-mix, this is the moment the job becomes a list of raw materials you control end to end.
The mix ratio, expressed as cement to sand to aggregate, sets both the strength and the cost of what you pour. A common 1:2:4 blend is the general-purpose workhorse for footings, slabs, and most domestic work: one part cement to two of sand to four of aggregate by volume. It is strong enough for structures that are not heavily loaded and economical because cement, the expensive ingredient, is a small share of the total. A richer mix such as 1:1.5:3 uses more cement, pours stronger, and resists cracking better, which is worth it for thin sections, posts under load, or anything exposed to weather or frost. A leaner mix saves money where strength is irrelevant, like a non-structural fill or a garden edge, but goes brittle if you push it too far. The calculator lets you type any ratio rather than locking you to a preset, so you can match the specification on your plans or the advice of your supplier instead of guessing. When in doubt, ask the yard for the grade your application needs and enter that ratio directly, because the wrong blend is either wasted money or a slab that fails under load. This is also where mortar differs from concrete: a wall mortar is mostly cement and sand with little or no coarse aggregate, so its ratio lives at the cement-rich end of the scale. Knowing which kind of blend your project wants keeps the bag count meaningful rather than arbitrary. The one number that surprises first-time mixers is the dry-volume multiplier, about 1.54 in this calculator. Loose dry ingredients sit with air gaps between particles and compact when water is added and the mix is placed, so the volume of materials you batch is substantially larger than the solid slab you end up with. Ignore this and you will measure for the finished size, come up short, and be mixing a panic top-up mid-pour. The calculator applies the 1.54 factor for you, then weighs each material by its own bulk density — roughly 1440 kg per cubic meter for cement, around 1600 for sand, and about 1500 for aggregate — because a cubic meter of sand weighs more than a cubic meter of cement even at the same volume. The result is a bag count for cement and tonnages for the aggregates that reflect what you actually carry and tip into the mixer, not an idealized geometric volume. Treat the water figure as a starting point, since real demand shifts with how wet your sand is and the day's temperature. Use this cement calculator when you are mixing from raw ingredients: a small slab, a garden wall with mortar, a post footing, or a repair where a truck would be overkill or cannot reach. Batching your own is cheaper per cubic meter on tiny jobs and lets you work in stages without paying for a minimum delivery. The trade-off is labour and consistency — hand mixing large volumes is slow and harder to keep uniform than a truck batch. When your job passes roughly half a cubic yard, or when you need a guaranteed strength and finish, switch to the concrete calculator and price ready-mix or bags of pre-blended product instead; that tool reports cubic yards and bag counts for the bought-in route. Either way, aim for a mix that holds its shape without pooling water on the surface, and remember that a little surplus of dry material is far cheaper than a stalled pour with no mix left to place.
If you are repairing a single step or a narrow footing, the per-bag cost is irrelevant next to the convenience of mixing exactly what you need, two bags at a time, without scheduling a delivery window. The cement calculator is at its best precisely in that small-batch territory, where a truck is impractical but a careful material list still saves you from multiple hardware-store runs. Keep it in your toolkit for the jobs that are too small to pour but too real to guess.
Frequently asked questions
Why is the dry volume larger than the finished slab?
When you measure loose dry materials (cement, sand, aggregate) they contain air and sit less densely than the finished, compacted slab. Estimators multiply the finished volume by about 1.54 to get the dry batching volume — this calculator applies that factor, then weighs each material by its own bulk density.
What does a 1:2:4 mix ratio mean?
It is the proportion of cement to sand to coarse aggregate by volume — one part cement, two parts sand, four parts aggregate. A richer mix (more cement, e.g. 1:1.5:3) is stronger but uses more cement per cubic meter. You can type any ratio, not just the presets.
How much water do I need?
This calculator estimates water at a 0.5 water-to-cement mass ratio, which suits these grades. Real water demand depends on aggregate moisture, slump, and weather, so treat it as a starting point and adjust on site.
Should I use this or the concrete calculator?
Use this when you batch your own mix from cement, sand, and aggregate and need those separate quantities. Use the concrete calculator when you are buying pre-mixed bags or ordering ready-mix by the cubic yard.