Volume of a Parallelepiped


Calculate parallelepiped volume from two base edges, included base angle and perpendicular height, with reverse solving.

Use this parallelepiped volume calculator to quickly find the volume of a parallelepiped from two base edges, the included angle, and the height. It is useful for geometry, schoolwork, technical tasks, and conversions between cubic units.

You can calculate directly from the base edges, angle, and height, convert units instantly, and also use reverse calculation when you need to find a missing edge, the height, or the angle from a known volume.


Volume of a parallelepiped formulas

$$V= a \times b \times h \times \sin(\gamma)$$









Volume of a Parallelepiped FAQ

What is the formula for the volume of a parallelepiped?

The formula is V = a b h sin(gamma), where a and b are the base edges, gamma is the included base angle, and h is the perpendicular height.

Why is the sine of the angle used in the formula?

The sine term converts the two base edges into the actual area of the parallelogram base. The volume is then that base area multiplied by the height.

Can I enter the angle in degrees or radians?

Yes. The calculator works with the selected angle unit, so you can use degrees or radians as long as the chosen mode matches your input.

Can I convert the volume into other units?

Yes. The result can be displayed in different cubic units, which is useful when moving between metric and imperial systems.

Can I solve for a missing edge, angle, or height?

Yes. Reverse calculation can determine one missing base edge, the angle, or the height when the volume and the remaining dimensions are known.


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