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? ›

Volume = length x width x height.

What is l * w * h? ›

When you see the dimensions of an object listed as “length x width x height,” it is referring to the measurement of that object in three-dimensional space. The length is always the longest side, the width is always the middle side, and the height is always the shortest side.

How do I calculate volume? ›

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

How to calculate the volume of a box? ›

You can calculate the volume of a box by multiplying length x width x height.

How to calculate length and width and height? ›

To calculate the length and width of a rectangle first, calculate the value of width 'w' by using the area of rectangle formula that is, 'w = A/l'. Then substitute the value of width in the formula of the perimeter of a rectangle and simplify the value of length 'l', that is, P = 2 (l + A/I).

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.

How to calculate length and width? ›

To find the length (L) of a rectangle given area (A) and width (W), you need to:
  1. Know the equation for a rectangle area is A = L × W .
  2. Determine L from that previous equation. L = A/W .
Apr 25, 2024

How to calculate dimensions? ›

How To Calculate the Dimensions of a Box. The dimensions of a box formula is pretty straightforward: length x width x height. This format is also what your product packaging provider will use when creating your containers. The length of the box is the longest side when looking at it from the top.

What comes first, width or height? ›

The orientation is dictated by which measurement has the greater value, and the standard format for denoting size is always width first, then height, or WxH. For instance, a frame with the measurements of 8″ X 10″– the first number being “Width” and the second being “Height”– is a portrait.

How do you manually calculate volume? ›

Volume Formula Reminders:

Volume of a rectangular prism = length × width × height. Volume of a cylinder = π(radius)^2 × height. Volume of a sphere = (4/3)π(radius)^3. Volume of a pyramid =(1/3)(Base Area)(height)

What are the two ways to calculate volume? ›

Answer and Explanation:

Vome by density and mass: Volume can be found by diving mass to the density. Volume is the weight per unit density. 2. Volume by space: The volume of any physical object can be found by measuring the physical dimensions.

How to calculate the volume of a rectangle? ›

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

How to calculate cubic ft? ›

Multiply the length, width and height and divide the resulting number by 1,728. This is the container's volume in cubic feet. The above container is 1.1 cubic feet (round to the nearest tenth).

How to calculate cubic 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.

How to calculate cubic inches? ›

Measure the object's length, width, and depth in inches. Then, multiply the length, width, and depth together to find the object's volume in cubic inches. For instance, say the object is 50 in long, 25 in wide, and 20 in deep. 50 x 25 x 20 = 25,000, so the object's volume is 25,000 cubic inches.

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 length of a volume? ›

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 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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