To convert the volume of a solid from cubic millimeters (mm³) to cubic centimeters (cm³), we need to know the conversion factor between these two units of volume.
Understanding the Conversion Factor:
1 centimeter (cm) is equal to 10 millimeters (mm).
Therefore, 1 cubic centimeter (cm³) is equal to ( 10 mm ) × ( 10 mm ) × ( 10 mm ) = 1000 mm 3 .
Converting from mm³ to cm³:
Now, we have 3610 mm³, and we want to convert it to cm³.
To do this, divide the volume in mm³ by the conversion factor (1000 mm³/cm³):
Volume in cm 3 = 1000 mm 3 / cm 3 3610 mm 3
Volume in cm 3 = 3.61 cm 3
Therefore, the volume of the solid is 3.61 cm³.