Which of the following measures cannot be captured by a straight line?

The correct answer is the volume of an irregular solid because it cannot be measured by a straight line. Volume is a three-dimensional measurement that quantifies the amount of space an object occupies. When dealing with irregular solids, their shape does not conform to standard geometric figures, making it difficult to describe their volume with a single straight line or dimension.

In contrast, length, height, and width are all linear measurements that can be determined by straight lines. Each of these dimensions can be represented in a two-dimensional plane or in three-dimensional space by using straight line segments to indicate their extents. Therefore, while length, height, and width can be accurately captured and measured using straight lines, volume encompasses a more complex measurement that includes all three dimensions.