Box Diagonal

The Box Diagonal 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

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

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).
• Pipe Grading - Compute the drop needed over a run to maintain a grade (e.g., 4" over 12')
• 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.
• 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.
• Water in Basement Volume: Computes the volume of water in an area such as a basement based on the dimensions and the time required to pump it out based on a sump pump rate.
• Paint for Pipes: Computes the amount of paint needed to cover the exterior surface area of one or more pipes based on the pipe diameter, length, number of coats, number of pipes and the recommended area coverage of the paint. 
• Time to Fill: Computes the amount of time necessary to fill something (e.g., tank or pool) based on the volume and flow rate.
• Pipe Insulation Calc: Computes the number of bags of pipe insulation needed for a run of pipes based on the 12' of length per bag and the length of pipe run to be insulated.