1. Finding the Density of an Aluminium Block
Uncertainty Included

2. Measurements
Mass (g) ±0.01g
Length (cm)
±0.01cm
Width (cm)
Breadth (cm) 1
543.02
8.03
5.01
5.00 2
8.02
5.03 3
8.04

3. Mean value and Uncertainty
LENGTH
Mean value = = 8.03 cm 3
Uncertainty = 8.04 – 8.02 = ±0.01 cm 2
Percentage Uncertainty = 0.01 = 0.12%
8.03

4. Mean value and Uncertainty
WIDTH
Mean value = = 5.02 cm 3
Uncertainty = 5.03 – 5.01 = ± 0.01 cm 2
Percentage Uncertainty = 0.01 = 0.199% = 0.2%

5. Mean value and Uncertainty
BREADTH
Mean value = = 5.00 cm 3
Uncertainty = ± 0.01 cm
Percentage Uncertainty = = 0.20%
5.00

6. Mean value and Uncertainty
MASS
Value = g
Uncertainty = ± 0.01g
Percentage Uncertainty = = % = 0.00%
543.02

7. Results DENSITY ρ = m/V = 543.02 / (8.03 x 5.02 x 5.00)
ρ = gcm-3

8. Uncertainty TOTAL UNCERTAINTY UNCERTAINTY OF ANSWER
Uncertainty = 0.52 x = ± 0.01 gcm-3
100

9. Answer
Density = 2.69 ± 0.01 gcm-3
True Density = 2.70 gcm-3