**A.**

For a cube of length, l, the volume is expressed as:

V = l^{3}

Physical quantities are generally not purely numerical: They have a particular *dimension* or combination of dimensions associated with them. Thus, your height is not 74, but rather 74 inches, often expressed as 6 feet 2 inches. Although feet and inches are different *units* they have the same*dimension*--*length*.

A. Find the dimensions [*V*] of volume.

Express your answer as powers of length ( *l*), mass ( *m*), and time ( *t*).

B. Find the dimensions [*v*] of speed.

Express your answer as powers of length ( *l*), mass ( *m*), and time ( *t*).

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