Volume of Parallelepiped Formula

In geometry, a parallelepiped is a three-dimensional figure formed by six parallelograms. Any of the three pairs of parallel faces can be viewed as the base planes of the prism. The volume of the parallelepiped can be find if the area of the bottom and height is known. The standard notation of the parallelepiped volume is V.  

Volume of Parallelepiped Formula

Formula of Volume of Parallelepiped

Let S is the area of the bottom and h is the height of a parallelepiped, then the volume formula is,

\[\large V=S\times h\]

S= Area of the bottom
h= Height

Volume of Parallelepiped Formula Solved Examples

Question: Find the volume of the parallelepiped, when $20\,cm^{2}$ is the area of bottom and 10 cm is the height of the parallelepiped?


Aare of the botton S = $20\,cm^{2}$
Height = 10cm

Volume formula is: $\large V=S\times h$ 



Practise This Question

In making an alloy, a substance of specific gravity s1 and mass m1 is mixed with another substance of specific gravity s2 and mass m2; then the specific gravity of the alloy is