Mathematical Calculators

Rectangle Volume Calculator

It is a free calculator that can help you find the volume of a box.

Square footage calculator

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Table of contents

The volume of a box formula
Horizontal Cylinder Container Tank
Vertical Cylinder Tank
Rectangle Tank
Horizontal Oval Tank
Vertical Oval tank
Horizontal Capsule Tank
Vertical Capsule Storage Tank

The volume of a box formula

It is possible to calculate the volume of a rectangular container if you know its dimensions (width, length, height). The formula for volume box is width x height x length.

Horizontal Cylinder Container Tank

Total volume in cylinder-shaped tanks is the area A at the end of the circular circle times the length l. A = π r2 where radius r equals 1/2 the diameter or d/2. 
V(tank) = π r^2 l
Calculate the horizontal cylinder tank volume by finding the area (A), of a circle segment and multiplying this by the length (l).

Vertical Cylinder Tank

Total volume in cylinder-shaped tanks is the area A at the circular end divided by the height, H. A = π r^2 and r is the radius, which is equal to d/2. 
V(tank) = π r^2 h
The vertical cylinder tank has a lower volume, but the same radius, and the same diameter, as the cylinder. However, the fill height or height is the actual height. 
V(fill) = π r^2 f

Rectangle Tank

The total volume for a rectangular prism-shaped container is length * width * height. 
 V(tank) = lwh
A rectangular tank with a filled volume is one that has a shorter height but the same width and length. The fill height (or f) is the new height. 
V(fill) = lwf

Horizontal Oval Tank

The volume of an oval tank may be calculated by finding A at the end, which’s a shape, and multiplying it times l. A = π r^2 + 2 r a. This proves that r = h/2 and a= w – h. Where w>h must always remain true. 
 V(tank) = (πr^2 + 2ra)l
If we assume that the horizontal oval tank's fill volume is divided into two halves by a rectangular tank, it will be easier to calculate. Fill volume can then be calculated for
1) a Horizontal Cylinder Tank, where l = l, f = f, and d = h
2) a Square Tank where L = l. F = f. and the rectangle width W is a = w -h of the oval tanks. 
V(fill) = V(fill-horizontal-cylinder) + V(fill-rectangle)

Vertical Oval tank

To calculate the volume in an oval tank, take the area of the end (the shape) and multiply it by the length. Then, it is possible to prove that A = π r^2+2ra and r = w/2, respectively, and that a = h-w where h>w must always match. 
 V(tank) = (π r^2 + 2ra)l

Horizontal Capsule Tank

A capsule can be described as a sphere having a diameter of d divided in half, separated by a circle of diameter d with height a. 
Where r = d/2 
V(sphere) = (4/3) π r¨3
 V(cylinder) = π r^2 a
V(capsule) = π r^2 ((4/3)r + a)
The volume of fill in horizontal capsules can be calculated using the Circular Segment method for Horizontal Cylinder. The same approach is used for calculations of a Spherical Cap for the sphere portion of the tank. 
V(spherical cap) = (1/3)π h^2 (3R - h)

Vertical Capsule Storage Tank

For the calculation of the volume in a vertical capsule tank, consider the capsule to be a sphere of size that is cut in half and divided by a circular height a. 
Where r=d/2
 V(capsule) = πr^2((4/3)r + a)
cubic inches cubic feet cubic yards us liquid gallons us dry gallons imp liquid gallons barrels (oil) cups fluid ounces (UK) fluid ounces (US) pints (UK)
cubic meter 6.1 10^4 35.3 1.30^8 264.2 227 220 6.29 4227 3.52 10^4 3.38 10^4 1760
cubic decimeter 61.02 0.035 1.3 10^-3 0.264 0.227 0.22 0.006 4.23 35.2 33.8 1.76
cubic centimeter 0.061 3.5 10^-5 1.3 10^-6 2.64 10^-4 2.27 10^-4 2.2 10^-4 6.29 10^-6 4.2 10^-3 3.5 10^-2 3.34 10^-2 1.76 10^3
cubic millimeter 6.1 10^-5 3.5 10^-8 1.31 10^-9 2.64 10^-7 2.27 10^-7 2.2 10^-7 6.3 10^-9 4.2 10^-6 3.5 10^-5 3.4 10^-5 1.76 10^-6
hectoliters 6.1 10^3 3.53 0.13 26.4 22.7 22 0.63 423 3.5 10^3 3381 176
liters 61 3.5 10^-2 1.3 10^-3 0.26 0.23 0.22 6.3 10^-3 4.2 35.2 33.8 1.76
centiliters 0.61 3.5 10^-4 1.3 10^-5 2.6 10^-3 2.3 10^-3 2.2 10^-3 6.3 10^-5 4.2 10^-2 0.35 0.338 1.76 10^-2
milliliters 6.1 10^-2 3.5 10^-5 1.3 10^-6 2.6 10^-4 2.3 10^-4 2.2 10^-4 6.3 10^-6 4.2 10^-3 3.5 10^-2 3.4 10^-2 1.76 10^-3
cubic inches 1 5.79 10^-4 2.1 10^-5 4.3 10^-3 3.7 10^-3 3.6 10^-3 10-4 6.9 10^-2 0.58 0.55 2.9 10^-2
cubic feet 1728 1 0.037 7.48 6.43 6.23 0.18 119.7 997 958 49.8
cubic yards 4.7 104 27 1 202 173.6 168.2 4.8 3232 2.69 104 2.59 104 1345
us liquid gallons 231 0.134 4.95 10^-3 1 0.86 0.83 0.024 16 133.2 128 6.7
us dry gallons 268.8 0.156 5.76 10^-3 1.16 1 0.97 0.028 18.62 155 148.9 7.75
imp liquid gallons 277.4 0.16 5.9 10^-3 1.2 1.03 1 0.029 19.2 160 153.7 8
barrels (oil) 9702 5.61 0.21 42 36.1 35 1 672 5596 5376 279.8
cups 14.4 8.4 10^-3 3.1 10^-4 6.2 10^-2 5.4 10^-2 5.2 10^-2 1.5 10^-3 1 8.3 8 0.4
fluid ounces (UK) 1.73 10^-3 3.7 10^-5 7.5 10^-3 6.45 10^-3 6.25 10^-3 1.79 10^-4 0.12 1 0.96 5 10^-2
fluid ounces (US) 1.8 10^-3 3.87 10^-5 7.8 10^-3 6.7 10^-3 6.5 10^-3 1.89 10^-4 0.13 1.04 1 0.052
pints (UK) 34.7 0.02 7.4 10^-4 0.15 0.129 0.125 3.57 103 2.4 20 19.2 1

Parmis Kazemi
Article author
Parmis Kazemi
Parmis is a content creator who has a passion for writing and creating new things. She is also highly interested in tech and enjoys learning new things.

Rectangle Volume Calculator English
Published: Thu Mar 10 2022
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