Estimate round or square hay bale weight and dry matter, reverse-solve density, and plan herd feed quantities and trailer payload counts.
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Bale Weight Formula (Volume × Density)
The following formula is used to calculate the bale weight from bale volume and an assumed (or known) hay density.
Variables:
- BALEW is the bale weight (lb), when using feet and lb/ft³
- BL is the bale length (ft)
- BW is the bale width (ft)
- BH is the bale height (ft)
- ρ is the hay/bale density (lb/ft³)
For a rectangular bale, multiply length×width×height by the measured or assumed as-fed density. For a round cylinder, useπ×diameter²×bale width/4 for volume. The calculator requires your density;10.5lb/ft³ is the example assumption below, not a universal default. Use total mass including water for as-fed density. Wet-basis moisture partitions that mass into water and dry matter; dry-matter density is a different input basis. Weigh representative bales for decisions about feeding, purchasing and transport.
How to Calculate Bale Weight?
The following steps outline how to calculate the Bale Weight.
- First, determine the bale length (ft).
- Next, determine the bale width (ft).
- Next, determine the bale height (ft).
- Next, gather the formula from above: BALEW = BL * BW * BH * ρ.
- Finally, calculate the Bale Weight.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
bale length (ft) = 3
bale width (ft) = 4
bale height (ft) = 5
BALEW = BL * BW * BH * 10.5 = ?
Solution (using ρ = 10.5 lb/ft³): BALEW = 3 × 4 × 5 × 10.5 = 630 lb.
