A prism is completely filled with 3996 cubes that have edge lengths of 1/3 in.

What is the volume of the prism?

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To answer this problem, we determine first the volume of the cubes by the equation,

V = e³

where V is volume and e is the length of each edge. Substituting the known value to the equation,

V = (1/3 in) ³ = 1/27 in³

Then, to determine the volume of the prism, we multiply the calculated volume to the number of cubes. That is,

V (prism) = (1/27 in³) (3996 cubes) = 137.89 in³

Thus, the volume of the prism is approximately 137.89 in³.