📦 Error Cuboid — why percentage errors ADD for a volume

A block measured with a scale of least count Δ. Its volume is l×b×h, and for a product the PERCENTAGE errors add. Watch the faint shell of uncertainty grow.

Walkthrough 1 / 1

The complete picture.

Length l 4.0 cm

Breadth b 2.5 cm

Height h 1.5 cm

Least count Δ (each side) 0.5 mm

V = l·b·h = 15.0 cm³ · %V = 3.8%
ΔV = 0.57 cm³

ΔV/V = Δl/l + Δb/b + Δh/h = %V ÷ 100 (fractional errors add for a product)

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