A student plays a game using a single dice.
The student decides to determine the density of the dice by measuring its mass and volume.
(a) Describe how the student could accurately measure the mass of the dice. (2)
(b) The dice is not a regular shape.
The student decides to measure the volume of the dice using a displacement method.
The student places the dice into a measuring cylinder containing water.
The diagram shows the water in the measuring cylinder before and after the dice is fully submerged.
(i) The measuring cylinder gives volume in units of \(\mathrm{cm^3}\).
Using the diagram, determine the volume of the dice. (2)
volume = __________________ \(\mathrm{cm^3}\)
(ii) The dice has a mass of \(9.2\,\mathrm{g}\).
Calculate the density of the dice using the formula
\(\mathrm{density}=\dfrac{\mathrm{mass}}{\mathrm{volume}}\)
Give a suitable unit. (3)
density = __________________ unit __________________
Syllabus Topic Codes (Edexcel International GCSE Physics 4PH1):
(a) Measuring the mass accurately [2 marks]
1. Place the dice on a balance to measure its mass.
2. Before measuring, zero or tare the balance and ensure it is level. The measurement should also be made away from drafts.
Final Answer: Use a balance to measure the mass. Zero or tare the balance first and ensure it is level and free from drafts.
(b)(i) Volume of the dice [2 marks]
1. Read the initial volume of water:
Initial volume \(=30\,\mathrm{cm^3}\)
2. Read the final volume after the dice is fully submerged:
Final volume \(=37\,\mathrm{cm^3}\)
3. Calculate the volume displaced:
\(V=37-30\)
\(V=7\,\mathrm{cm^3}\)
Final Answer: \( \boxed{7\,\mathrm{cm^3}} \)
(b)(ii) Density of the dice [3 marks]
1. Use the density equation:
\(\mathrm{density}=\dfrac{\mathrm{mass}}{\mathrm{volume}}\)
2. Substitute the values:
\(\mathrm{density}=\dfrac{9.2}{7}\)
3. Calculate:
\(\mathrm{density}=1.314\ldots\,\mathrm{g\,cm^{-3}}\)
To 2 significant figures:
\(\mathrm{density}=1.3\,\mathrm{g\,cm^{-3}}\)
Final Answer: \( \boxed{1.3\,\mathrm{g\,cm^{-3}}} \)
