`D = sqrt( "L" ^2 + "W" ^2 + "H" ^2)`

Enter a value for all fields

The Diagonal of a Box calculator computes the length of diagonal of a box based on the vertical height, width and the length.  

INSTRUCTIONS: Choose units and enter the following:

• (H) Height of Box
• (W) Width of Box
• (L) Length of Box

Diagonal (D):  The calculator will return the length of the diagonal in inches.  However, this can be automatically converted to other length units (e.g. centimeters, feet) via the pull-down menu.

The Math / Science

The mathematical term for a box is a rectangular cuboid.  The formula for the diagonal of a box is:

         `D = sqrt(L^2 + W^2 + H^2)`

where:

• D = Diagonal of a box
• L = Length
• W = Width
• H = Height

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Box Calculators

• Rolling Offset (run) - Equation to calculate the run (R) in the diagram above.
• Magnitude of a 3D Vector
• surface area of a box,
• volume of a box,
• diagonal of a box and
• weight of a box if full when you provide the mean density
• weight of a box if full and you can select any of 500+ substances

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Plumbing Calculators

• Rolling Offsets (Run and Travel)  – The Rolling Offset Rolling Offset Lengths Pipe Grading function computes the run and travel length a rolling offset based on the offsets and fittings. (see diagram).
• Diagonal of a Square - This is a simple calculation to assist in computing the diagonal of a square.
• Diagonal of a Box - This computes the length of the diagonal of a box (T) based on sides of length R, S and U.
• Flow Rate - This computes flow rate based on the total volume and the time it took to accumulate.
• Pipe Flow Volume  - This computes the total volume from a pipe based on the flow rated and the duration of flow.
• Weight of Water in a Tank - Computes the weight of water in a cylindrical tank based on the radius and height (or length).
• Weight of Water in a Pipe - Computes the weight of water or other substances in a pipe based on the dimension and material density.
• Weight of Sea Water in pipe - Computes the weight of sea water in a cylinder based on the radius and height (or length)
• Pressure Head - The Potential Gravity-Fed Water Pressure from a Tank (a.k.a. Pressure Head) based on the height of storage.
• Pipe Volume - Computes the volume in a pipe
• Pipe Surface Area - Computes the surface area of a pipe.
• Pipe Coating Amount - Computes the volume of coating material for a pipe such as paint, polyethylene, polyurethane, zinc, bitumen, FBE or mortar.
• Pipe Grading - Compute the drop needed over a run to maintain a grade (e.g., 4" over 12')
• Volume of Water in a Tank (e.g. hot water tanks),
• Volume of a Spherical Container
• Weight of Water in a Spherical Container
• Volume of Water in Rectangular Tank 
• Weight of Water in a Rectangular Tank
• Capillary Rise - The height of water in a small tube due to capillary force.
• Snow Water Equivalence - The volume of water created by an area and depth of snow.
• Pore Water Pressure - Pressure of uplift from the water table.
• Pipe Stress Budget - Computes the pressure that a pipe can withstand based on the allowable stress, wall thickness and outside diameter.