Box Volume

The Volume of a Box calculator computes Box aka Parallelepiped the volume of a box (a.k.a. rectangular parallelepiped) based on the length, height and depth (see diagram).

INSTRUCTIONS: Choose units and enter the following:

• (l) length of box
• (h) height of box
• (d) depth of box 

Volume of a Box (V): The volume is returned in cubic meters.  However, this can be automatically converted into many other volume units (e.g. cubic feet, gallons, litres) via the pull-down menu.

The Math / Science

A box is three dimensional volume with perpendicular corners.  A special case of the box is a cube where all dimensions are the same.  A box shape is very common in construction and other manufacturing due to the ease in establishing consistency and in stacking and measuring.

The formula for the volume of a box (parallelepiped) is:

       V = L • H • D

where:

• V is the volume of box
• L is the length
• H is the height
• D is the depth

References

• Light and Matter(Dr. Benjamin Crowell) Chapter 1.4 Order of Magnitude Estimates

Box Calculators:

• For the Surface Area of a Box shaped object, CLICK HERE.
• For the Diagonal of a Box shaped object, CLICK HERE.

Volume is a three dimensional measurement of the amount of space taken up by an object.  Volume units are cubic measurements for solid objects such as cubic inches and cubic meters.  Fluids have separate volume units such as liters, fluid ounces, cups, gallons, and barrel. 

The volume of an object can measured by the liquid it displaces or be calculated by measuring its dimensions and applying those dimensions to a formula describing its shape.  Many such calculations are available in the following list of calculators. 

In many cases, the calculators are for a column with a geometric shaped base and vertical sides.  One basic formula for volume is area times a Height when the volume has vertical sides.

Volume Calculators

• Volume from Area and Height
• Volume of a Cube 
• Volume of a Box
• Volume of a Cone
• Volume of a Cone Frustum
• Volume of a Cylinder
• Volume of a Slanted Cylinder
• Volume of a Semicircle
• Volume of a Triangular 
• Volume of a Quadrilateral 
• Volume of a Pentagon 
• Volume of a Hexagon 
• Volume of a Heptagon
• Volume of a Octagon
• Volume of a Nonagon
• Volume of a Decagon
• Volume of a Hendecagon
• Volume of a Dodecagon
• Volume of a Paraboloid
• Volume of a Polygon based Pyramid
• Volume of a Pyramid Frustum
• Volume of a Sphere
• Volume of a Sphere Cap
• Volume of a Sphere Segment
• Volume of a Sphere Shell
• Volume of a Oblate Spheroid
• Volume of a Ellipsoid
• Volume of a Torus
• Volume of a Bottle
• Volume of a Chamfer
• Gasket Volume

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.