2023 ACSBR EM S1 EOY P1 Q7

2023 ACSBR EM S1 EOY P1 Q7

3 marks

A metal statue has a mass of \({58\ \mathrm{g}}\), correct to the nearest gram.

  1. Find the least possible mass of the metal statue.[1]
  2. The volume of the metal statue is \({20\ \mathrm{cm}^3}\), correct to the nearest cubic centimetre.
    Ajamin claimed that the greatest possible mass of \({1}\) cubic centimetre of the metal statue is \({2.9\ \mathrm{g/cm}^3}\). Do you agree with his claim? Justify with calculations.[2]

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Answer:(a) \(57.5\text{ g}\). (b) No. The density is less than \(3\text{ g/cm}^3\), with upper bound \(3\text{ g/cm}^3\); no greatest density is attained.

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