Finding the Volume of Objects


Finding the volume / capacities of various objects is generally quite simple, just follow these formulas.


Finding the volume of a Rectangular Tank

  • V = volume
  • L = length
  • H = height
  • W = width

Formula

V = L x W x H

  • To find the volume in Liters:
    • Measure the tank in centimeters and divide the result by 1000. (Example: 13cm x 11cm x 28cm = 4004cm3 4004cm3 /1000 = 4.004 L)
    • Measure the tank in meters and multiply by 1000.
  • To find the volume in US gallons:
    • Measure the tank in inches and divide by 231.
    • Measure the tank in feet and multiply by 7.48.



 



Finding the volume of a Cylindrical Tank

  • V = volume
  • D = diameter
  • L = length

Formula

V = D x D x 0.7854 x L or V = ∏R2L

  • To find the volume in Liters:
    • Measure the tank in centimeters and divide the result by 1000.
      (Example: 10cm x 10cm x 0.7854 x 30cm = 2356.2cm3) (2356.2cm3 / 1000 = 2.36 L)
    • Measure the tank in meters and multiply by 1000.
  • To find the volume in US gallons:
    • Measure the tank in inches and divide by 231.
    • Measure the tank in feet and multiply by 7.48.


Finding the volume of an Elliptical Tank

  • V = volume
  • L = length
  • W = width
  • H = height

Formula

V = H x W x 0.7854 x L

  • To find the volume in Liters:
    • Measure the tank in centimeters and divide the result by 1000.
      (EX: 20cm x 10cm x 0.7854 x 30cm = 4712.4cm3) (4712.4cm3 / 1000 = 4.71 L)
    • Measure the tank in meters and multiply by 1000.
  • To find the volume in US gallons:
    • Measure the tank in inches and divide by 231.
    • Measure the tank in feet and multiply by 7.48.



 



Finding the volume of a Spherical Tank

  • V = volume
  • D3 = diameter cubed

Formula

  • To find the volume in Liters:
    • Measure the tank in centimeters and divide the result by 1000.
      (EX: 20cm x 20cm x 20cm x 0.5236 = 4188.8cm3) (4188.8cm3 / 1000 = 4.19 L)
    • Measure the tank in meters and multiply by 1000.
  • To find the volume in US gallons:
    • Measure the tank in inches and divide by 231.
    • Measure the tank in feet and multiply by 7.48.


Finding the volume of a Frustum Tank

A frustum can be multi-sided or conical, the formula below will work for both.

  • frustumV = volume
  • H = height between bases
  • B1 = area of upper base
  • B2 = area of lower base

Formula

frustum formula

  • To find the volume in Liters:
    • Measure the tank in centimeters and divide the result by 1000.
    • Measure the tank in meters and multiply by 1000.
  • To find the volume in US gallons:
    • Measure the tank in inches and divide by 231.
    • Measure the tank in feet and multiply by 7.48.