Step 1: Understand the given information
- Number of sheets = 500
- Mass of 1 m² of paper = 0.080 kg
- Length of one sheet = 0.300 m
- Width of one sheet = 0.210 m
- Height of pile of 500 sheets = 0.048 m
Step 2: Calculate the area of one sheet of paper
Area = length × width = 0.300 m × 0.210 m = 0.063 m²
Step 3: Calculate the mass of one sheet
The mass of a sheet is proportional to its area:
Mass = (mass per 1 m²) × (area of one sheet)
Mass = 0.080 kg/m² × 0.063 m² = 0.00504 kg
So, the mass of one sheet is approximately 0.00504 kg (or 5.04 g).
Step 4: Calculate the volume of the pile of 500 sheets
Volume = Base area × height
Base area (area of one sheet) = 0.063 m²
Height = 0.048 m
Volume = 0.063 m² × 0.048 m = 0.003024 m³
Step 5: Calculate total mass of 500 sheets
Total mass = number of sheets × mass of one sheet
Total mass = 500 × 0.00504 kg = 2.52 kg
Step 6: Calculate the density of the paper
Density = mass ÷ volume
Density = 2.52 kg ÷ 0.003024 m³ ≈ 833 kg/m³
Final answers:
- Mass of one sheet ≈ 0.00504 kg (5.04 g)
- Density of the paper ≈ 833 kg/m³