- Mass is the amount of matter in an object.
- Units of measurement for mass include grams (g), kilograms (kg), and milligrams (mg).
- A balance or scale is used to find the mass of an object.
- Volume is the amount of space an object occupies.
- The unit of measurement for liquid volume is milliliters (mL) or liters (L).
- The unit of measurement for solid volume is cubic centimeters (cm³) or cubic meters (m³).
- The formula to calculate density is: Density = Mass / Volume.
- a. Volume of the rectangular solid = length × width × height = 5 m × 4 m × 2 m = 40 m³.
- b. Density of the object = mass / volume = 300 g / 40 m³. Since units are inconsistent, convert mass to kg or volume to cm³. Converting 300 g to 0.3 kg gives density = 0.3 kg / 40 m³ = 0.0075 kg/m³. Alternatively, converting 40 m³ to 40,000,000 cm³ gives density = 300 g / 40,000,000 cm³ = 0.0000075 g/cm³. (Note: The problem likely intends consistent units; if mass were 300 kg, density would be 7.5 kg/m³. As written, the density is very low due to unit mismatch.)
- a. Volume of the rock = final volume - initial volume = 23 mL - 20 mL = 3 mL (or 3 cm³).
- b. Density of the rock = mass / volume = 23 g / 3 cm³ ≈ 7.67 g/cm³.
Parent Tip: Review the logic above to help your child master the concept of 6th grade density worksheet.