Final answer:
A voxel represents a volume in three-dimensional space and volume is the amount of space an object occupies. The standard SI unit of volume is the cubic meter (m³), but more practical units in certain contexts are milliliters (mL) and cubic centimeters (cm³), with 1 mL being equivalent to 1 cm³.
Step-by-step explanation:
Understanding Voxel and Volume
A voxel is a volume element, representing a value in three-dimensional space, just as a pixel represents a data point in two dimensions. When it comes to measuring volume, which is the amount of space occupied by an object, understanding the units involved is crucial. Volume can be expressed in several SI units, such as the cubic meter (m³) which is defined as the volume occupied by a cube with sides of 1 meter in length.
A smaller unit of volume is the milliliter (mL), which is equivalent to a cubic centimeter (cm³). To visualize this, imagine a cube where each side measures 1 centimeter; this cube's volume would be one milliliter. This scale is much more convenient for use in settings like chemistry laboratories, as compared to the much larger cubic meter.
When calculating the volume of a regular object, you multiply its length by width and height. The units of volume are thereby derived from units of length. For instance, if you have a cube-shaped box that measures 10 centimeters on each side, its volume would be 1000 cubic centimeters (1000 cm³), which is also equal to one liter (L) or 1 decimeter cubed (1 dm³).