Solve for X: Finding the Missing Dimension in a 75 cm³ Cuboid

Given the problem of determining the value of $X$ with only partial data, it is crucial to understand that the volume of a cuboid is determined by multiplying its three dimensions. Here, we have a volume of 75 cm³ and one dimension given as 4 cm. However, without information about the other dimension(s), determining $X$ is speculative.

• Recognizing that the volume $V = l \times w \times h$ and only having one dimension given (which may be part of $4$), it is not possible to isolate or solve for the other unknowns only keeping $X$ as unknown.
• The figure does not provide complete information about the dimensions that would be used along with the volume to solve for any missing side or dimension directly.

Therefore, as a solution, it must be concluded that without additional information, we cannot solve for $X$ definitively.

The correct answer to the problem is: Impossible to know.