1Which is the dimensional formula of area?
Area works out to [L²].
MechanicsClass 11, Units and Measurements
Dimensional formula of Area
[L2]
Length times length. The dimension of area is the square of the dimension of length, no mass or time is involved.
How to get the dimensional formula of area
- Start from the definition: area = length × length.
- Put in the dimension of each part: [L] × [L].
- Add the powers of each base quantity: [L2].
Three questions on area
2What is the SI unit of area?
The SI unit of area is the square metre (m²).
3Do area and density have the same dimensions?
Area is [L²] but density is [M L⁻³].
An equation that uses area
Equation checker
Matching dimensions are necessary, not sufficient. A check cannot see pure numbers such as 1/2 or 2π, so a consistent equation can still be wrong.
Read as
P = F / AP[M L-1 T-2]=F/A[M L-1 T-2]Dimensionally consistentEvery term is [M L-1 T-2]
Area: quick answers
What is the dimensional formula of area?
The dimensional formula of area is [L²]. It comes from area = length × length.
What is the SI unit of area?
The SI unit of area is the square metre (m²).
Is area dimensionless?
No. Area has the dimensions [L²].