• Skip to primary navigation
  • Skip to main content
  • Skip to primary sidebar
SensorsONE

SensorsONE

  • Products
  • Contact

Box and Cylinder Dimensions with Same Volume Calculator

Select Answer Mode
Vbox = Vcyl
Box
Cylinder
Set Units Shortcut
Calculate Box & Cylinder Dimensions
Length of Box [?]
Width of Box [?]
Height of Box [?]
Length of Cylinder [?]
Diameter of Cylinder [?]
Volume [?]

Click save settings to reload page with unique web page address for bookmarking and sharing the current tool settings

✕ clear settings



Related Tools

  • Box and Sphere dimensions calculator
  • Cylinder and Sphere dimensions calculator
  • Box 1 and Box 2 dimensions calculator
  • Cylinder 1 and Cylinder 2 dimensions calculator
  • Box volume calculator
  • Cylinder volume calculator

Contents

Toggle
  • User Guide
    • Formulas
      • Same Volume Mode (Vbox = Vcyl)
      • Box Mode
      • Cylinder Mode
      • Symbols
    • Parameters
      • Length of Box
      • Width of Box
      • Height of Box
      • Length of Cylinder
      • Diameter of Cylinder
      • Volume

User Guide

Box and Cylinder Dimensions with Same VolumeThis tool will calculate the measurement of a selected dimension for one of the shapes, which is necessary to ensure a rectangular box and a cylinder have the same volume.

Use this tool to calculate the dimensions of a cylindrical tank which is required to replace a rectangular shaped tank or vice versa.

Determine the length of a material supplied in cylindrical form that is required to be moulded into a rectangular shaped material.

Experiment with different dimensions of each shape whilst maintaining an equal volume for both.

Formulas

The formulas used by this box and cylinder dimensions with same volume calculator, to determine each individual parameter, are as follows:

Same Volume Mode (Vbox = Vcyl)

Lbox = Lcyl · π · øcyl2 / (4 · Wbox · Hbox)

Wbox = Lcyl · π · øcyl2 / (4 · Lbox · Hbox)

Hbox = Lcyl · π · øcyl2 / (4 · Lbox · Wbox)

Lcyl = Lbox · Wbox · Hbox · 4 / (π · øcyl2)

øcyl = 2 · √(Lbox · Wbox · Hbox / (π · Lcyl))

Box Mode

Lbox = V / (Wbox · Hbox)

Wbox = V / (Lbox · Hbox)

Hbox = V / (Lbox · Wbox)

V = Lbox · Wbox · Hbox

Cylinder Mode

Lcyl = 4 · V / π · øcyl2

øcyl = 2 · √(V / (Lcyl · π))

V = Lcyl · π · øcyl2 / 4

Symbols

  • Lbox = Length of box
  • Wbox = Width of box
  • Hbox = Height of box
  • Lcyl = Length of cylinder
  • øcyl = Diameter of cylinder
  • V = Volume of box or cylinder
  • π = Pi = 3.14159…

Parameters

Length of Box

This is the length of the longest horizontal dimension of the rectangular box.

Width of Box

This is the length of the shortest horizontal dimension of the rectangular box.

Height of Box

This is the length of the vertical dimension of the rectangular box.

Length of Cylinder

This is the length of the cylindrical shaped object.

Diameter of Cylinder

This is the diameter of the cylindrical shaped object.

Volume

This is the volume of the rectangular or cylindrical shaped object.

Primary Sidebar

Tools

  • Unit Converters
  • Pressure
  • Liquid Level
  • Temperature & Heat
  • Electrical & Electromagnetic
  • Flow
  • Force, Load & Torque
  • Mass & Weight
  • Dimensions
  • Density
  • Time & Frequency
  • Speed & Acceleration
  • Energy & Power
  • Sensors & Instrumentation
  • Shapes
  • Movement & Motion
  • Travel & Transportation
  • Pricing & Quantities
  • Chemical Quantities
  • Health & Fitness

Tool Feedback

Please provide feedback on using this Box and Cylinder Dimensions with Same Volume Calculator.

By clicking "OK" or continuing to use this website you are providing your consent to use cookies as described in our Privacy Policy

© 2025 SensorsONE Ltd, all rights reserved

  • Home
  • Products
  • Tools
  • Legal
  • Contact