Question

Prove that the formula to calculate area is dimensionally correct​

Answer 1

The dimensional formula of length = [M 0 L 1 T 0].... (2) On substituting equation (2) in equation (1) we get, Area = Length × breadth Or, A = [M 0 L 1 T 0 ] × [M 0 L 1 T 0 ] = [M 0 L 2 T 0 ] Therefore, area is dimensionally represented as [M0 L2 T0]

Step-by-step explanation:

Answer 2

The formula for the area of a two-dimensional shape is A = l × w, where A is the area, l is the length, and w is the width. To prove that the formula is dimensionally correct, we need to show that the units of measurement on both sides of the equation match. The unit of length is represented by "L" and the unit of area is represented by "L^2". Since the units of length used for l and w in the formula are both L, the units on both sides of the equation match, and the formula is dimensionally correct.