Length, Width & Height to Volume Calculator (2024)

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Contents

User Guide

This online tool calculates the volume of a rectangular shaped box, solid or space from the dimensions of length, width and height. There is no need to input values in the same measurement units, just select your preferred units for each dimension and calculated volume.

Once the measurements have been entered for length, width and height, the calculated volume will be shown in the answer box. Also a graphic will be shown of a scaled 3D drawing to the correct proportions and labelled with each dimension and calculated volume.

Formula

The formula used by this calculator to calculate the volume of a rectangular shaped object is:

V = L · W · H

Symbols

  • V = Volume
  • L = Length
  • W = Width
  • H = Height

Volume Dimensions – Length, Width & Height

Enter the measurement of length, width and height for the rectangular shape.

The following SI unit conversion factors in metres (m) are used for converting the measurement units specified for length, width and height:

SI Metric Prefix Length Units

  • quectometre (qm) – 1 x 10-30 m
  • rontometre (rm) – 1 x 10-27 m
  • yoctometre (ym) – 1 x 10-24 m
  • zeptometre (zm) – 1 x 10-21 m
  • attometre (am) – 1 x 10-18 m
  • femtometre (fm) – 1 x 10-15 m
  • picometre (pm) – 1 x 10-12 m
  • nanometre (nm) – 1 x 10-9 m
  • micrometre (µm) – 0.000001 m
  • millimetre (mm) – 0.001 m
  • centimetre (cm) – 0.01 m
  • decimetre (dm) – 0.1 m
  • metre (m) – 1 m
  • decametre (dam) – 10 m
  • hectometre (hm) – 100 m
  • kilometre (km) – 1,000 m
  • megametre (Mm) – 1,000,000 m
  • gigametre (Gm) – 1 x 10+9 m
  • terametre (Tm) – 1 x 10+12 m
  • petametre (Pm) – 1 x 10+15 m
  • exametre (Em) – 1 x 10+18 m
  • zettametre (Zm) – 1 x 10+21 m
  • yottametre (Ym) – 1 x 10+24 m
  • ronnametre (Rm) – 1 x 10+27 m
  • quettametre (Qm) – 1 x 10+30 m

Imperial and US Length Units

  • thousandth of an inch (thou) – 0.0000254 m
  • inch (in) – 0.0254 m
  • foot (ft) – 0.3048 m
  • yard (yd) – 0.9144 m
  • mile (mi) – 1,609.344 m
  • nautical mile (nmi) – 1,852 m

Astronomical Units

  • astronomical unit (au) – 149,597,870,700 m
  • light-year (ly) – 9,460,730,472,580,800 m
  • parsec (pc) – 30,856,775,814,913,672.789… m
  • kiloparsec (kpc) – 3.0856775814913672789… x 10+19 m
  • megaparsec (Mpc) – 3.0856775814913672789… x 10+22 m
  • gigaparsec (Gpc) – 3.0856775814913672789… x 10+25 m

Volume Calculation

This is the volume of the rectangular shape which corresponds to the dimensions entered for length, width and height. The volume is calculated by multiplying together each dimension and then converting it into the selected volumetric units.

The following conversion factors in cubic metres (m³) are used to convert the calculated volume into different volumetric units:

Metric Volumetric Units

  • cubic nanometre (cu nm) – 1 x 10-27
  • cubic micrometre (cu µm) – 1 x 10-18
  • cubic millimetre (cu mm) – 1 x 10-9
  • cubic centimetre (cu cm) – 1 x 10-6
  • millilitre (mL) – 1 x 10-6
  • teaspoon (tsp, metric) – 5 x 10-6
  • dessertspoon (dsp, metric) – 1 x 10-5
  • tablespoon (Tbsp, metric) – 1.5 x 10-5
  • cup (metric) – 2.5 x 10-4
  • litre (L) – 1 x 10-3
  • cubic metre (cu m) – 1 m³
  • kilolitre (kL) – 1 m³
  • megalitre (ML) – 1000 m³
  • cubic kilometre (cu km) – 1 x 10+9

English Imperial Volumetric Units

  • cubic thou (cu thou) –1.6387064 x 10-14
  • teaspoon (tsp, imperial) – 5.91938802083… x 10-6
  • dessertspoon (dsp, imperial) – 1.18387760416… x 10-5
  • cubic inch (cu in) – 1.6387064 x 10-5
  • tablespoon (Tbsp, imperial) – 1.77581640625 x 10-5
  • fluid ounce (fl oz, imperial) – 2.84130625 x 10-5
  • cups (imperial)- 2.84130625 x 10-4
  • pint (pt, imperial) – 5.6826125 x 10-4
  • quart (qt, imperial) – 1.1365225 x 10-3
  • gallon (gal, imperial) – 4.54609 x 10-3
  • cubic foot (cu ft) – 0.028316846592 m³
  • cubic yard (cu yd) – 0.764554857984 m³
  • cubic mile (cu mi) – 4168181825.440579584 m³
  • cubic nautical mile (cu nmi) – 6352182208 m³

US Volumetric Units

  • cubic thou (cu thou) –1.6387064 x 10-14
  • teaspoon (tsp, usa) – 4.92892159375 x 10-6
  • dessertspoon (dsp, usa) – 9.8578431875 x 10-6
  • tablespoon (Tbsp, usa) – 1.478676478125 x 10-5
  • cubic inch (cu in) – 1.6387064 x 10-5
  • fluid ounce (fl oz, usa) – 2.95735295625 x 10-5
  • cup (usa) – 2.365882365 x 10-4
  • pint (pt, usa liquid) – 4.73176473 x 10-4
  • quart (qt, usa liquid) – 9.46352946 x 10-4
  • gallon (gal, usa liquid) – 3.785411784 x 10-3
  • cubic foot (cu ft) – 0.028316846592 m³
  • barrel (bbl, oil) – 0.158987294928 m³
  • cubic yard (cu yd) – 0.764554857984 m³
  • cubic mile (cu mi) – 4168181825.440579584 m³
  • cubic nautical mile (cu nmi) – 6352182208 m³

Litres Metric Prefix Volumetric Units

  • quectolitre (qL) – 1 x 10-33
  • rontolitre (rL) – 1 x 10-30
  • yoctolitre (yL) – 1 x 10-27
  • zeptolitre (zL) – 1 x 10-24
  • attolitre (aL) – 1 x 10-21
  • femtolitre (fL) – 1 x 10-18
  • picolitre (pL) – 1 x 10-15
  • nanolitre (sqnL) – 1 x 10-12
  • microlitre (sqµL) – 1 x 10-9
  • millilitre (sqmL) – 0.000001m³
  • centilitre (sqcL) – 0.00001m³
  • decilitre (dL) – 0.0001 m³
  • litre (sqL) – 0.001m²
  • decalitre (daL) – 0.01 m³
  • hectolitre (hL) – 0.1 m³
  • kilolitre (sqkL) – 1m³
  • megalitre (ML) – 1,000 m³
  • gigalitre (GL) – 1,000,000 m³
  • teralitre (TL) – 1 x 10+9
  • petalitre (PL) – 1 x 10+12
  • exalitre (EL) – 1 x 10+15
  • zettalitre (ZL) – 1 x 10+18
  • yottalitre (YL) – 1 x 10+21
  • ronnalitre (RL) – 1 x 10+24
  • quettalitre (QL) – 1 x 10+27

Cubic Metres SI Metric Prefix Volumetric Units

  • cubic quectometre (cu qm) – 1 x 10-90
  • cubic rontometre (cu rm) – 1 x 10-81
  • cubic yoctometre (cu ym) – 1 x 10-72
  • cubic zeptometre (cu zm) – 1 x 10-63
  • cubic attometre (cu am) – 1 x 10-54
  • cubic femtometre (cu fm) – 1 x 10-45
  • cubic picometre (cu pm) – 1 x 10-36
  • cubic nanometre (cunm) – 1 x 10-27
  • cubicmicrometre (cuµm) – 1 x 10-18
  • cubicmillimetre (cumm) – 1 x 10-9
  • cubiccentimetre (cucm) – 0.000001m³
  • cubic decimetre (cu dm) – 0.001 m³
  • cubicmetre (cum) – 1m³
  • cubic decametre (cu dam) – 1000 m³
  • cubic hectometre (cu hm) – 1,000,000 m³
  • cubickilometre (cukm) – 1 x 10+9
  • cubic megametre (cu Mm) – 1 x 10+18
  • cubic gigametre (cu Gm) – 1 x 10+27
  • cubic terametre (cu Tm) – 1 x 10+36
  • cubic petametre (cu Pm) – 1 x 10+45
  • cubic exametre (cu Em) – 1 x 10+54
  • cubic zettametre (cu Zm) – 1 x 10+63
  • cubic yottametre (cu Ym) – 1 x 10+72
  • cubic ronnametre (cu Rm) – 1 x 10+81 m
  • cubic quettametre (cu Qm) – 1 x 10+90 m

Cubic Astronomical Units

  • cubic astronomical unit (cu au) – 3.347928975810748964239359243 x 10+33
  • cubic light-year (cu ly) – 8.4678666462371516595551248694562 x 10+47
  • cubic parsec (cu pc) – 2.937998946096347255544756436543… x 10+49
  • cubic kiloparsec (cu kpc) – 2.937998946096347255544756436543… x 10+58
  • cubic megaparsec (cu Mpc) – 2.937998946096347255544756436543… x 10+67
  • cubic gigaparsec (cu Gpc) – 2.937998946096347255544756436543… x 10+76

Applications

Use this length x widthx height calculator to determine the volumein the following applications:

  • Volume of package to be dispatched to add to shipping paperwork
  • Gravel volumerequired to fill a path, car park or driveway.
  • Rectangular storage tank capacity.
  • Car, truck or van load space volume capacity.
  • Car load volume to move storage.
  • Maximum volume capacity a water tank will hold.
  • How much fuel is required to fill a tank.
  • Size of bund required to contain leaks and spillages from IBC containers.
  • Number of bags required for each material for a building project.
  • Quantityof soil required to fill a planter box.
  • Amount of water required to fill a fish tank/aquarium.
  • Fillcapacity for a pond.
  • Warehouse room storage capacity from dimensions.
  • IBC volume capacity.
  • Swimming pool fill volume.
  • Luggage space possible inside a suitcase.
  • Cement mix required to fill foundations/footings.
  • Pickup truck bed volume capacity.
  • Audio speaker enclosure volume.
  • Trough capacity for feeding animals.
  • Garden shed, Sunhouse or Greenhouse cement pad volume.

Help

25 x 10 x 12 inch tank in US gallons

How many US gallons will a 10 inchs wide 12 inchs high and 25 inchs long tank hold?

Assuming internal dimensions or no wall thickness, the volume of the tank is 12.987013 US Gallons.

Length, Width & Height to Volume Calculator (1)

Length, Width & Height to Volume Calculator (2024)

FAQs

How to calculate volume with length, width, and height? ›

When we multiply the length, width, and height of a cuboid, we get its volume. This means, Length x Width x Height = Volume of Cuboid. In other words, the capacity or volume of a cuboid or any rectangular box can be measured if we multiply these three dimensions together.

How to calculate volume with 3 measurements? ›

In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.

How to calculate the volume? ›

Height × width × length= volume

If the height, width and length are measured in cm, the answer will be cm³.

What is l * w * h? ›

The standard notation for box dimensions is Length x Width x Height (L x W x H). Accuracy matters: Especially with larger or irregularly shaped boxes, measure twice to confirm your measurements.

What are the 3 formulas for volume? ›

Formulas of Volume of Various Figures
ShapesVolume FormulaVariables
Rectangular Solid or CuboidV = l × w × hl = Length w = Width h = Height
CubeV = a3a = Length of edge or side
CylinderV = π r2hr = Radius of the circular base h = Height
PrismV = B × hB = Area of base, (B = side2 or length.breadth) h = Height
6 more rows

How do you calculate volume based on measurements? ›

The answer to a volume is shown in cubic units. The formula for volume is: Volume = length x width x height.

What are 3 ways of measuring volume? ›

The three most common methods for measuring volume are as follows:
  • Measurement using Archimedes' principle.
  • Measurement using a laser volumeter.
  • Measurement using an acoustic volumeter.

How to calculate the volume of a rectangle? ›

VOLUME OF A RECTANGULAR OBJECT

The volume of a rectangular container is determined by multiplying the length (l) by the width (w) by the height (h).

Which is the correct formula for volume? ›

“Well,” I told my daughter, “what I do for problems like these is write out the formula I'm going to need right at the top.” And I wrote: Volume = Length x Width x Height.

How to calculate area with length, width, and height? ›

To find the area of a rectangle, you need to know the width and height of the rectangle. To find the width, multiply the length of one side by the length of the other side. To find the height, multiply the width by the height. The formula for finding the area of a rectangle is: Area = width x height.

What is the formula for volume using length? ›

Volume of Shapes
Name of Geometrical ShapeVolume Formula
CubeV = a³ , where a is the edge-length of a cube
CuboidV = length x width x height
ConeV = ⅓ πr²h Where r equals the radius and h is the height of the cone
CylinderV = πr²h, Where r equals the radius and h denotes the height of a cylinder
1 more row

What is the formula for the volume of length breadth and height? ›

or volume of cuboid = l × b × h, where l, b and h are respectively the length, breadth and height of the cuboid.

How do you calculate cubic volume? ›

Calculating Volume

The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times. This results in the formula: Volume = side * side * side.

What is the formula for volume in dimensions? ›

The dimensional formula of volume is derived from the formula of volume, which is Volume (V) = Length × breadth × height. The dimensional formula of length is [M^0 L^1 T^0]. On substituting this in the volume formula, we get the dimensional formula of volume as [M^0 L^3 T^0].

What is the formula for LxBxH? ›

The Volume of Cuboid

In other words, The volume of the cuboid is the product of the length, breadth, and height, colloquially dubbed as 'lbh'. For any cuboid of length L, Breadth B, and height H, the volume 'V' is equal to LxBxH. The SI unit of this volume is a cubic meter (m^3).

What are the three ways to find volume? ›

To illustrate the effects of precision on data, volumes will be determined by three different methods: geometrically (measuring lengths); water displacement; and pycnometry. The composition of a mixed brass-aluminum cylinder and the volume of empty space within a hollow cylinder will also be found.

References

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