How to find the volume of a parallelepiped? This calculator can make it easy for you to calculate the volume of this threedimensional figure. Just enter the length, width and height into the calculator and it will display volume.
Volume of Parallelepiped Calculator
Enter the required values to calculate the volume of the parallelepiped. In advanced mode, you can use vector angles for more accurate calculations.
What is the Volume of a Parallelepiped?
A parallelepiped is a sixfaced figure, also called a polyhedron, where each face is a parallelogram. You can find its volume using vector methods, specifically with the scalar triple product of three vectors.
Using Tool Guide
To use the calculator, follow these steps:
 Enter the length of vector A (length): This is the first side of the parallelepiped.
 Enter the length of vector B (width): This is the second side of the parallelepiped.
 Enter the length of vector C (height): This is the third side of the parallelepiped.
 Enter the angle between vectors A and B (angleAB): This is the angle between the first two vectors.
 Enter the angle between vectors B and C (angleBC): This is the angle between the second and third vectors.
Formula to Calculate the Volume of a Parallelepiped
The formula to calculate the volume of a parallelepiped is:
$\text{Volume} = a \cdot (b \times c)$
Here’s a breakdown of the variables used:
Variable  Description 

$a$

Vector A 
$b$

Vector B 
$c$

Vector C 
$\cdot$

Dot product 
$\times$

Cross product 
How To Calculate
Lets understand how the calculator works, let’s go through an example.
1. Basic Calculation
Input  Value 

Vector A (length)  3 units 
Vector B (width)  4 units 
Vector C (height)  5 units 
Angle between A and B (angleAB)  60 degrees 
Angle between B and C (angleBC)  90 degrees 
Calculation Steps:
Calculate the cross product of vectors B and C:
$b \times c$
Calculate the dot product of vector A with the result from step 1:
$a \cdot (b \times c)$
Take the absolute value of the result to get the volume:
$\text{Volume} = a \cdot (b \times c)$
2. Advanced Calculation
Input  Value 

Vector A (length)  3 units 
Vector B (width)  4 units 
Vector C (height)  5 units 
Angle between A and B (angleAB)  60 degrees 
Angle between B and C (angleBC)  90 degrees 
FAQs
What is a parallelepiped?
A parallelepiped is a 3D shape with six faces, and each face is a parallelogram.
How accurate is the calculator?
The calculator gives accurate results if the input values are correct.
Can I use this calculator for any parallelepiped?
Yes, you can use this calculator for any parallelepiped as long as you have the necessary inputs.
Final Words
I hope you found our Volume of Parallelepiped Calculator, a useful and accurate tool to find the volume of a parallelepiped. It simplify the calculation process, providing quick result to users. Please, let us know your experience and feedback.