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

SensorsONE

Measurement Instrumentation Products

  • Products
  • Tools
  • Contact

Box and Sphere Dimensions with Same Volume Calculator

Calculate Box & Sphere Dimensions
Select Answer Mode
Set Units Shortcut
Length of Box [?]
Width of Box [?]
Height of Box [?]
Diameter of Sphere [?]
Volume [?]

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

✕ clear settings

Change the answer mode for this tool by selecting box length, box width, box height, sphere diameter or the volume of each as the parameter to calculate instead




Contents

  • Related Tools
  • User Guide
    • Formulas
      • Symbols
    • Length of Box
    • Width of Box
    • Height of Box
    • Diameter of Sphere
    • Volume

Related Tools

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

User Guide

Box and Sphere 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 sphere have the same volume.

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

Formulas

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

Lbox = π · øsph3 / (6 · Wbox · Hbox)

Wbox = π · øsph3 / (6 · Lbox · Hbox)

Hbox = π · øsph3 / (6 · Lbox · Wbox)

øsph = ∛(6 · Lbox · Wbox · Hbox / π)

V = Lbox · Wbox · Hbox
V = π · øsph3 / 6

Symbols

  • Lbox = Length of box
  • Wbox = Width of box
  • Hbox = Height of box
  • øsph = Diameter of sphere
  • V = Volume of box or sphere
  • π = Pi = 3.14159…

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.

Diameter of Sphere

This is the diameter of the spherical object.

Volume

This is the volume of the rectangular or spherical shaped object. The volume will be calculated as soon as all the dimensions for either the box or the sphere have been fully entered. If all dimension inputs have values, then the dimensions of the box will be used to calculate the volume. If you would like to use the dimension for the sphere rather than the box, simply clear one of the box dimensions, and the tool will automatically allow the sphere diameter to be entered instead.

Primary Sidebar

Tool Sections

  • Area
  • Chemical Quantities
  • Circular Shapes
  • Density
  • Diameter & Radius
  • Energy & Power
  • Electrical & Electromagnetic
  • Flow
  • Force, Load & Torque
  • Length & Distance
  • Liquid Depth & Level
  • Mass & Weight
  • Movement & Motion
  • Pressure
  • Pricing & Quantities
  • Rectangular Shapes
  • Sensors & Instruments
  • Speed & Acceleration
  • Temperature & Heat
  • Time & Frequency
  • Travel & Transportation
  • Volumetric

Featured Product Types

  • Computer Interface Pressure Gauges
  • Vacuum Pressure Transducers
  • Seawater Compatible Sensors
  • Vacuum Pressure Transmitters
  • Intrinsically Safe Pressure Data Loggers
  • Marine Approved Liquid Level Sensors

Tool Feedback

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

© 2023 SensorsONE Ltd, all rights reserved

  • Home
  • Products
  • Tools
  • Legal
  • Contact