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- 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
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 sphere have the same volume.
Experiment with different dimensions of each shape whilst maintaining an equal volume for both.
The formulas used by this box and sphere dimensions with same volume calculator to determine each individual parameter are as follows:
Same Volume Mode (Vbox = Vsph)
Lbox = π · øsph3 / (6 · Wbox · Hbox)
Wbox = π · øsph3 / (6 · Lbox · Hbox)
Hbox = π · øsph3 / (6 · Lbox · Wbox)
øsph = ∛(6 · Lbox · Wbox · Hbox / π)
Lbox = V / (Wbox · Hbox)
Wbox = V / (Lbox · Hbox)
Hbox = V / (Lbox · Wbox)
V = Lbox · Wbox · Hbox
øsph = ∛(6 · V / π)
V = π · øsph3 / 6
- 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.
This is the volume of the rectangular or spherical shaped object.