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Site maths

Packs, units & waste

T=⌈N(1+w100)⌉P=⌈Ts⌉
where
T
target units
N
net units
w
waste (%)
P
packs
s
units per pack
Explain this equation

This converts a net number of units into whole supplier packs, after adding waste, and shows how many spares you end up with.

N is the net number of units. w is the waste percentage. T is the target number of units including waste. s is the number of units in one pack and P is the number of packs. The calculator also gives the units supplied and the surplus above the target.

N × (1 + w/100) adds the waste and is rounded up to a whole unit. That is divided by the pack size and rounded up again, because you can only buy full packs. The ⌈ ⌉ brackets mean round up.

1000 bricks with 5% waste is 1050. At 500 to a pack that is 3 packs, 1500 bricks, leaving 450 spare. Sometimes a split pack is worth asking for.

Watch out: waste is added before rounding to packs, so the surplus is on top of the waste allowance.

Convert a net quantity to whole supplier packs.

%

Enter your values to see the result.

Good to know

Rounding to packs happens after waste allowance. Pack size is supplier-specific.

Sources

  • Geometry / arithmetic

Estimates are not design approval or British Standards compliance checks. Structural arch, retaining-wall, wind, foundation, lintel and masonry-capacity design are not performed. Use the project engineer’s specification.