[p]=[wl-1]
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it is a pure number and has no dimension
Since speed or velocity = distance/time ,its dimensional formula =L/T = [MoLT-1]
Length of one side ^ 3 (meaning side to the 3d power, or side * side * side).It's easy to remember as it is basically the same as the formula for the area of a square, just to the 3d power instead of the 2nd power as there is one more dimension.
The dimension of power is (energy / time)= (force x distance) / time= (mass x distance / time2) x distance / time= mass x distance2 / time3= ML2T-3
Depends on the size of the box. You can use the formula length times width times height, though.