Consider the equation v = 1/3zxt2. The dimensions of the variables v, x, and t are [L]

Question:

Consider the equation v = 1/3zxt2. The dimensions of the variables v, x, and t are [L] / [T], [L], and [T], respectively. The numerical factor 3 is dimensionless. What must be the dimensions of the variable z, such that both sides of the equation have the same dimensions? Show how you determined your answer.