Question

Find the dimensions [V] of volume. Express your answer as powers of length ( l), mass ( m), and time ( t).

Answer 1

The dimensions of volume [V] are expressed as L³, representing length cubed, as volume is the product of three dimensions of length.

Step-by-step explanation:

The dimensions of volume [V] can be expressed as powers of length (l), mass (m), and time (t). Since volume is a measure of the amount of space occupied by a three-dimensional object, it is related to length only and does not directly incorporate mass or time. Thus, the dimensions of volume are typically given as L³, which indicates that volume is the product of three lengths, or length cubed. For example, in the case of a cylinder, the volume V would be calculated using the area of its base (which has dimensions of L²) times its height (which has dimension L), leading to a combined dimension of L³.

Answer 2

Volume equals to thrice the length.
`[V] = [L]* [L]* [L]`

Step-by-step explanation:

Dimensionally speaking, volume equals to thrice the length. That is:

`[V] = [L]* [L]* [L]`