5. A cubic centimeter (cm³) and a milliliter (mL) are equivalent units of volume. Therefore, the volume occupied by 1 cm³ is exactly the same as the volume occupied by 1 mL.
6. To calculate density, use the formula: Density = Mass / Volume.
- First, calculate the volume of the rectangular solid: Volume = Length × Width × Height = 5 m × 4 m × 2 m = 40 m³.
- Convert mass to kilograms for consistency with SI units: 300 grams = 0.3 kg.
- Density = 0.3 kg / 40 m³ = 0.0075 kg/m³.
- Alternatively, if keeping mass in grams, convert volume to cm³: 40 m³ = 40,000,000 cm³, so Density = 300 g / 40,000,000 cm³ = 0.0000075 g/cm³. However, the handwritten answer suggests using g/m³: 300 g / 40 m³ = 7.5 g/m³.
7. Density = Mass / Volume = 54 g / 20 cm³ = 2.7 g/cm³.
8. Volume = Mass / Density = 16 g / 4 g/mL = 4 mL.
9. Mass = Density × Volume = 10 g/mL × 80 mL = 800 g.
10. Ocean water has a higher density than pure water because it contains dissolved salts and other minerals, which add mass without significantly increasing the volume.
11. For a cube, Volume = side³. Side length = 9 cm, so Volume = 9 cm × 9 cm × 9 cm = 729 cm³.
- Density = Mass / Volume = 3,645 g / 729 cm³ = 5 g/cm³.
12. Since this question requires drawing and explaining positions in water, and no image can be drawn here, the explanation is:
- Objects less dense than water (1.0 g/mL) will float; those more dense will sink.
- Styrofoam (D = 0.5 g/cm³) is less dense than water, so it floats on the surface.
- Balsa wood (D ≈ 0.16–0.2 g/cm³) is also less dense than water, so it floats on the surface.
Parent Tip: Review the logic above to help your child master the concept of density worksheet with answers.
![Density Calculations Worksheet [Worksheet & Answers] by Teacher In ...](/images2/density-worksheet-with-answers/density-worksheet-with-answers-9.jpg)
