1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# What is the dimension formula of volume?

Open in App
Solution

## Step 1: DefinitionThe quantity of space occupied by a thing, whereas capacity seems to be the ability of an object to contain a material, such as a solid, liquids, or gaseous is called volume.Step 2: Dimensional formulaWe know the formula of volume,$\mathrm{Volume}\left(\mathrm{V}\right)=\mathrm{Length}×\mathrm{breadth}×\mathrm{height}$…(equation $1$)The dimensional formula of length is:$\left[{\mathrm{M}}^{0}{\mathrm{L}}^{1}{\mathrm{T}}^{0}\right]$ …(equation $2$)By substituting the equation $2$ in the equation $1$ we get,$\mathrm{V}=\left[{\mathrm{M}}^{0}{\mathrm{L}}^{1}{\mathrm{T}}^{0}\right]×\left[{\mathrm{M}}^{0}{\mathrm{L}}^{1}{\mathrm{T}}^{0}\right]×\left[{\mathrm{M}}^{0}{\mathrm{L}}^{1}{\mathrm{T}}^{0}\right]=\left[{\mathrm{M}}^{0}{\mathrm{L}}^{3}{\mathrm{T}}^{0}\right]=\left[{\mathrm{L}}^{3}\right]$Therefore, the dimensional formula of volume will be $\left[{\mathrm{L}}^{3}\right]$.

Suggest Corrections
1
Join BYJU'S Learning Program
Related Videos
Total Surface Area of a Cuboid
MATHEMATICS
Watch in App
Join BYJU'S Learning Program