Mathematics for IGCSE & O level - Limits Of Accuracy (Section 3 - No. 30)

The density of gold is 19.3 g/cm³, correct to the nearest 0.1 g/cm³. A bar of gold measures 8.6 cm by 4.1 cm by 2.4 cm, all correct to the nearest mm. What is the greatest possible mass of the gold bar?
1699 g
1700 g
1701 g
1702 g

Explanation

The maximum density is the upper bound 19.35g/cm³. The maximum volume is the upper bound for all measures: 8.65 * 4.15 * 2.45 = 87.83 cm³. Mass = density * volume = 19.35 * 87.83 = 1700.41 grams

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