Volume of Parallelepiped

For a given parallelepiped, volume is calculated by multiplying the bottom surface area with the height. Volume is defined in cubic units . Let us suppose that in a given parallelepiped a is the length, b is breadth, h is height then volume is given by Volume of Parallelepiped = length × breadth × height

Volume of Parallelepiped Formula

The formula of volume of parallelepiped is

Volume of Parallelepiped = Base Area × height

Where, h = height of parallelepiped,

b = base area of parallelepiped = length × breadth

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Parallelepiped – Definition and Formulas

Parallelepiped is a three-dimensional structure whose each face is a parallelogram. A parallelepiped has 6 parallelogram faces, 8 vertices, and 12 edges. The structure of a parallelepiped is similar to a three-dimensional hollow or solid box. It is used in real-life applications. Objects such as matchboxes, bricks, mobile phones, and many more things from which we are surrounded are examples of rectangular parallelepiped. A parallelepiped can be said a prism with a parallelogram base.

In this article, we are going to learn about parallelepipeds, their types (Rectangular parallelepiped), properties of parallelepiped, surface area of parallelepiped, its lateral surface area, its total surface area, volume parallelepiped, and some problems based on parallelepiped.

Table of Content

  • What is Parallelepiped?
  • Rectangular Parallelepiped
  • Properties of Parallelepiped
  • Volume of parallelepiped
  • Surface Area of Parallelepiped

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What is Parallelepiped?

Parallelepiped appears to be related to the term parallelogram. It is a parallelogram-like three-dimensional structure, which has parallel planes. Parallelepiped is derived from the Greek word “Parallelepipdon” which means any object having parallel faces. This structure has six parallel faces which are joined together to form a solid structure. Rectangular parallelepiped has all its planes in a rectangular shape. Simple, parallelepiped has parallel faces in a parallelogram shape....

Rectangular Parallelepiped

This is one of type of parallelepiped. When all six faces are in the shape of rectangle then it forms rectangular parallelepiped. It is similar to structure of cuboid. The rectangular shaped three dimensional box is similar to structure of a rectangular parallelepiped. The figure shown below is example of a rectangular parallelepiped. The length of all parallel edges are equal. Length, width and height are defined in given figure below:...

Properties of Parallelepiped

The properties of Parallelepiped are mentioned below:...

Surface Area of Parallelepiped

Surface Area of parallelepiped can be calculated by finding the area of the surfaces of Parallelepiped. There are two types of surface area one is lateral and another is total. Lateral surface area only includes the surrounding area, excluding its upper and lower base area. Total surface area contain both the upper and lower base area sum with its lateral surface area....

Volume of Parallelepiped

For a given parallelepiped, volume is calculated by multiplying the bottom surface area with the height. Volume is defined in cubic units . Let us suppose that in a given parallelepiped a is the length, b is breadth, h is height then volume is given by Volume of Parallelepiped = length × breadth × height...

Solved Examples on Parallelepiped

Example 1: What is the volume of rectangular parallelepiped whose length is 6m, breadth is 5 m and height is 3 m?...

Practice Problems on Parallelepiped

Problem 1. what is the volume of parallelepiped if base area of parallelepiped is 45 m2 and height of parallelepiped is13 m ?...

Parallelepiped – FAQs

1. What is Meaning of Parallelepiped?...