A gold bar has a mass of 12.5 kg - Edexcel - GCSE Maths - Question 3 - 2017 - Paper 3
Question 3
A gold bar has a mass of 12.5 kg.
The density of gold is 19.3 g/cm³.
Work out the volume of the gold bar.
Give your answer correct to 3 significant figures.
Worked Solution & Example Answer:A gold bar has a mass of 12.5 kg - Edexcel - GCSE Maths - Question 3 - 2017 - Paper 3
Step 1
Calculate the Mass in Grams
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Answer
First, we need to convert the mass of the gold bar from kilograms to grams since the density is provided in grams per cubic centimeter. There are 1000 grams in 1 kilogram, therefore:
Mass = 12.5 kg × 1000 g/kg = 12500 g.
Step 2
Use the Density Formula
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Answer
The formula for density is given by:
Density=VolumeMass
We can rearrange this formula to find the volume:
Volume=DensityMass
Substituting the values we have:
Volume=19.3g/cm312500g≈647.2cm3.
Step 3
Present the Final Answer
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Answer
Now, we will round the volume to 3 significant figures. The calculated volume is approximately 647.2 cm³, which rounded to 3 significant figures is:
