Enter the length, width, and height of the parallelepiped into the calculator to determine the volume; this calculator can also evaluate any of the variables given the others are known.
Volume Of Parallelepiped Formula
The following formula is used to calculate the volume of a parallelepiped:
V = l * w * h
Variables:
- V is the volume of the parallelepiped
- l is the length of the parallelepiped
- w is the width of the parallelepiped
- h is the height of the parallelepiped
To calculate the volume of a parallelepiped, multiply the length, width, and height together.
What is a Volume Of Parallelepiped?
A volume of a parallelepiped is a measure of the three-dimensional space enclosed by a parallelepiped. A parallelepiped is a three-dimensional figure formed by six parallelograms. The volume of a parallelepiped can be calculated by finding the scalar triple product of the three vectors forming the parallelepiped. This is done by taking the dot product of one of the vectors with the cross product of the other two vectors.
The result is a scalar quantity that represents the volume of the parallelepiped. The volume can also be found by multiplying the area of the base by the height, similar to finding the volume of a prism. The volume of a parallelepiped gives the capacity of the shape and is usually measured in cubic units.
How to Calculate Volume Of Parallelepiped?
The following steps outline how to calculate the Volume of a Parallelepiped.
- First, determine the length of the base (l).
- Next, determine the width of the base (w).
- Next, determine the height of the parallelepiped (h).
- Finally, calculate the Volume of the parallelepiped using the formula V = l * w * h.
- After inserting the values for length, width, and height, calculate the result.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Length (l) = 5
Width (w) = 3
Height (h) = 4
