Volume measures three-dimensional space occupied by liquids, gases, or solids. Metric units use liters (L) and milliliters (mL): 1 L = 1,000 mL = 1 cubic decimeter (dm³). Imperial units vary by region: US uses gallons, quarts, pints, cups, fluid ounces (fl oz); UK uses similar names but different sizes (UK gallon = 1.2× US gallon). For example, 1 US gallon = 3.785 L, 1 liter = 0.264 US gallons = 0.220 UK gallons. Cooking uses cups and tablespoons: 1 US cup = 236.588 mL, 1 tablespoon = 14.787 mL.
Cubic measurements relate to volume: 1 L = 1,000 cm³ (cubic centimeters), 1 gallon = 231 in³ (cubic inches). This connects volume to linear dimensions: a 10cm × 10cm × 10cm cube holds 1 liter (1,000 cm³). For irregular shapes, volume = base area × height (cylinders) or calculus integration (complex shapes). Chemistry uses mL and L for solutions; engineering uses m³ (cubic meters) for large volumes. Fuel economy uses L/100km (metric) or mpg (miles per gallon, inverse relationship). Convert carefully: 10 L/100km ≠ 10 mpg; it's ≈ 23.5 mpg.
Temperature affects volume (thermal expansion), especially for gases but also liquids. Volume measurements assume standard temperature (20°C or 68°F). For precise scientific work, specify temperature: '100 mL at 25°C'. Fuel pumps adjust for temperature (temperature-compensated volume). For most conversions, temperature effects are negligible (< 1% for liquids over normal ranges), but for gases or precision chemistry, account for thermal expansion using ideal gas law (PV = nRT) or liquid expansion coefficients.