Question

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

Answer 1

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.