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Timber volume & linear metres

Lt=nlV=Ltwt1,000,000
where
Lt
total length (m)
n
pieces
l
length per piece (m)
V
volume (m³)
w
width (mm)
t
thickness (mm)
Explain this equation

Totals a batch of rectangular timber as linear metres and as cubic metres. Use it for ordering, pricing or estimating weight.

n is the number of pieces and l the length of each, in metres, giving the total length Lt. w and t are the width and thickness of the section in millimetres. V is the volume in m³.

Total length is simply count times length. Volume is length times cross-section. Because w and t are in millimetres, their product is in mm², and dividing by 1,000,000 converts it to m² so the volume comes out in m³.

Ten 4.8 m lengths of 145 × 47 are 48 m, about 0.327 m³. Halving the thickness halves the volume.

Watch out: use the actual finished section for installed volume. Ordered sawn sizes are often larger.

Calculate a batch of rectangular timber using actual finished section sizes.

m
mm
mm

Enter your values to see the result.

Good to know

Lengths in metres, section in mm. Use finished dimensions for installed volume; ordered rough sizes may differ.

Sources

  • Geometry / arithmetic

This is a calculation aid, not a structural design or compliance certificate. Every default is an example, not a specification for your project.