Box and Cylinder Dimensions with Same Volume Calculator

Select Answer Mode⇅
Vbox = Vcyl	Lbox Wbox Hbox Lcyl øcyl
Box	Lbox Wbox Hbox Vbox
Cylinder	Lcyl øcyl Vcyl
Set Units Shortcut	mm cm m in ft
Calculate Box & Cylinder Dimensions⇅
Length of Box [?]
⟳ Select length unit millimetres (mm) centimetres (cm) inches (in) feet (ft) yards (yd) metres (m) quectometres (qm) rontometres (rm) yoctometres (ym) zeptometres (zm) attometres (am) femtometres (fm) picometres (pm) nanometres (nm) micrometres (µm) millimetres (mm) centimetres (cm) decimetres (dm) metres (m) decametres (dam) hectometres (hm) kilometres (km) megametres (Mm) gigametres (Gm) terametres (Tm) petametres (Pm) exametres (Em) zettametres (Zm) yottametres (Ym) ronnametres (Rm) quettametres (Qm) thousandths of an inch (thou) inches (in) feet (ft) yards (yd) miles (mi) nautical miles (nmi) astronomical units (au) light-years (ly) parsecs (pc) kiloparsecs (kpc) megaparsecs (Mpc) gigaparsecs (Gpc)
Width of Box [?]
⟳ Select width unit millimetres (mm) centimetres (cm) inches (in) feet (ft) yards (yd) metres (m) quectometres (qm) rontometres (rm) yoctometres (ym) zeptometres (zm) attometres (am) femtometres (fm) picometres (pm) nanometres (nm) micrometres (µm) millimetres (mm) centimetres (cm) decimetres (dm) metres (m) decametres (dam) hectometres (hm) kilometres (km) megametres (Mm) gigametres (Gm) terametres (Tm) petametres (Pm) exametres (Em) zettametres (Zm) yottametres (Ym) ronnametres (Rm) quettametres (Qm) thousandths of an inch (thou) inches (in) feet (ft) yards (yd) miles (mi) nautical miles (nmi) astronomical units (au) light-years (ly) parsecs (pc) kiloparsecs (kpc) megaparsecs (Mpc) gigaparsecs (Gpc)
Height of Box [?]
⟳ Select height unit millimetres (mm) centimetres (cm) inches (in) feet (ft) yards (yd) metres (m) quectometres (qm) rontometres (rm) yoctometres (ym) zeptometres (zm) attometres (am) femtometres (fm) picometres (pm) nanometres (nm) micrometres (µm) millimetres (mm) centimetres (cm) decimetres (dm) metres (m) decametres (dam) hectometres (hm) kilometres (km) megametres (Mm) gigametres (Gm) terametres (Tm) petametres (Pm) exametres (Em) zettametres (Zm) yottametres (Ym) ronnametres (Rm) quettametres (Qm) thousandths of an inch (thou) inches (in) feet (ft) yards (yd) miles (mi) nautical miles (nmi) astronomical units (au) light-years (ly) parsecs (pc) kiloparsecs (kpc) megaparsecs (Mpc) gigaparsecs (Gpc)
Length of Cylinder [?]
⟳ Select length unit millimetres (mm) centimetres (cm) inches (in) feet (ft) yards (yd) metres (m) quectometres (qm) rontometres (rm) yoctometres (ym) zeptometres (zm) attometres (am) femtometres (fm) picometres (pm) nanometres (nm) micrometres (µm) millimetres (mm) centimetres (cm) decimetres (dm) metres (m) decametres (dam) hectometres (hm) kilometres (km) megametres (Mm) gigametres (Gm) terametres (Tm) petametres (Pm) exametres (Em) zettametres (Zm) yottametres (Ym) ronnametres (Rm) quettametres (Qm) thousandths of an inch (thou) inches (in) feet (ft) yards (yd) miles (mi) nautical miles (nmi) astronomical units (au) light-years (ly) parsecs (pc) kiloparsecs (kpc) megaparsecs (Mpc) gigaparsecs (Gpc)
Diameter of Cylinder [?]
⟳ Select diameter unit millimetres (mm) centimetres (cm) inches (in) feet (ft) yards (yd) metres (m) quectometres (qm) rontometres (rm) yoctometres (ym) zeptometres (zm) attometres (am) femtometres (fm) picometres (pm) nanometres (nm) micrometres (µm) millimetres (mm) centimetres (cm) decimetres (dm) metres (m) decametres (dam) hectometres (hm) kilometres (km) megametres (Mm) gigametres (Gm) terametres (Tm) petametres (Pm) exametres (Em) zettametres (Zm) yottametres (Ym) ronnametres (Rm) quettametres (Qm) thousandths of an inch (thou) inches (in) feet (ft) yards (yd) miles (mi) nautical miles (nmi) astronomical units (au) light-years (ly) parsecs (pc) kiloparsecs (kpc) megaparsecs (Mpc) gigaparsecs (Gpc)
Volume [?]
L m³ cm³ US gal ft³ in³ ⇄ Select volume unit cu centimetres (cc, cm³) millilitres (mL) cu inches (in³) litres (L) gallons (gal, usa liq) gallons (gal, imp) cu feet (ft³) cu metres (m³) cu nanometres (nm³) cu micrometres (µm³) cu millimetres (mm³) cu centimetres (cc, cm³) millilitres (mL) teaspoons (tsp, metric) tablespoons (Tbsp, metric) cups (metric) litres (L) cu metres (m³) kilolitres (kL) megalitres (ML) cu kilometres (km³) cu thous (thou³) cu inches (in³) fluid ounces (fl oz, imp) pints (pt, imp) gallons (gal, imp) cu feet (ft³) cu yards (yd³) cu miles (mi³) cu nautical miles (nmi³) cu thous (thou³) teaspoons (tsp, usa) tablespoons (Tbsp, usa) cu inches (in³) fluid ounces (fl oz, usa) cups (usa) pints (pt, usa liq) gallons (gal, usa liq) cu feet (ft³) barrels (bbl, oil) cu yards (yd³) cu miles (mi³) cu nautical miles (nmi³) quectolitres (qL) rontolitres (rL) yoctolitres (yL) zeptolitres (zL) attolitres (aL) femtolitres (fL) picolitres (pL) nanolitres (nL) microlitres (µL) millilitres (mL) centilitres (cL) decilitres (dL) litres (L) decalitres (daL) hectolitres (hL) kilolitres (kL) megalitres (ML) gigalitres (GL) teralitres (TL) petalitres (PL) exalitres (EL) zettalitres (ZL) yottalitres (YL) ronnalitres (RL) quettalitres (QL) cu quectometres (qm³) cu rontometres (rm³) cu yoctometres (ym³) cu zeptometres (zm³) cu attometres (am³) cu femtometres (fm³) cu picometres (pm³) cu nanometres (nm³) cu micrometres (µm³) cu millimetres (mm³) cu centimetres (cm³) cu decimetres (dm³) cu metres (m³) cu decametres (dam³) cu hectometres (hm³) cu kilometres (km³) cu megametres (Mm³) cu gigametres (Gm³) cu terametres (Tm³) cu petametres (Pm³) cu exametres (Em³) cu zettametres (Zm³) cu yottametres (Ym³) cu ronnametres (Rm³) cu quettametres (Qm³) cu astronomical units (au³) cu light-years (ly³) cu parsecs (pc³) cu kiloparsecs (kpc³) cu megaparsecs (Mpc³) cu gigaparsecs (Gpc³)

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User Guide

This 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 (V_box = V_cyl)

L_box = L_cyl · π · ø_cyl² / (4 · W_box · H_box)

W_box = L_cyl · π · ø_cyl² / (4 · L_box · H_box)

H_box = L_cyl · π · ø_cyl² / (4 · L_box · W_box)

L_cyl = L_box · W_box · H_box · 4 / (π · ø_cyl²)

ø_cyl = 2 · √(L_box · W_box · H_box / (π · L_cyl))

Box Mode

L_box = V / (W_box · H_box)

W_box = V / (L_box · H_box)

H_box = V / (L_box · W_box)

V = L_box · W_box · H_box

Cylinder Mode

L_cyl = 4 · V / π · ø_cyl²

ø_cyl = 2 · √(V / (L_cyl · π))

V = L_cyl · π · ø_cyl² / 4

Symbols

• L_box = Length of box
• W_box = Width of box
• H_box = Height of box
• L_cyl = Length of cylinder
• ø_cyl = 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.