About this calculator

Find the largest rectangular outside envelope that would achieve a chosen density while holding footprint and gross weight fixed. It is a reverse calculation, not a physical repacking plan.

Inputs

How to use this calculator

Handling-unit scenario

  1. Outer footprint length (in)Hold this footprint fixed.
  2. Outer footprint width (in)Hold this footprint fixed.
  3. Current outer height (in)Include pallet, packaging and projections.
  4. Current gross weight (lb)Fixed tendered mass including pallet and packaging.

Shared inputs

  1. Target density (lb/ft³)A user-selected physical target. No class threshold is assumed.

Enter the shipment or scenario values, then select Calculate result.

Method

Formula and variables

Maximum cube (ft³) = fixed gross weight (lb) ÷ target density (lb/ft³). Maximum outer height (in) = 1,728 × maximum cube ÷ (outer length × outer width). Signed height change = maximum height − current height. Each scenario is independent.

Outer footprint length (in)
Hold this footprint fixed.
Outer footprint width (in)
Hold this footprint fixed.
Current outer height (in)
Include pallet, packaging and projections.
Current gross weight (lb)
Fixed tendered mass including pallet and packaging.
Target density (lb/ft³)
A user-selected physical target. No class threshold is assumed.

Interpret the result

The maximum height is an overall shipment height. A negative signed change means the real shipment would have to become shorter and be remeasured before using the new value.

Outputs: Target volume, maximum height and signed height change

The output describes an envelope, not a physically feasible repacking plan or guaranteed freight class. It assumes fixed footprint and mass. Never lower the entered measurements without actually changing and remeasuring the shipment. A target below required pallet/product height may be impossible. Do not add ballast to seek a class outcome.

Worked example

Check the arithmetic

This example uses the starting values shown above. The arithmetic below is calculated independently of the interactive result.

Work through the calculation

  1. Maximum volume = 450 lb ÷ 10 lb/ft³ = 45 ft³.
  2. Maximum height = 1,728 × 45 ÷ (48 × 40) = 40.5 in.
  3. Signed change = 40.5 − 45 = −4.5 in; current density = 450 ÷ 50 = 9 lb/ft³.

Compare the displayed result

Expected displayed result: 40.5 in

FAQs

Can I enter the target height before repacking?

Use actual tendered measurements for shipment decisions. The target describes a possible envelope only; it does not establish that the products can be packed into it.

Example inputs and options

Starting values are examples unless a field identifies a dated rule. Unit selectors convert only fields marked for conversion. Rates and model options keep the units and basis shown in their labels.

Outer footprint length (in)
Example: 48
Outer footprint width (in)
Example: 40
Current outer height (in)
Example: 45
Current gross weight (lb)
Example: 450
Target density (lb/ft³)
Example: 10