2026 NCHS P1 Q11

2026 NCHS P1 Q11

Secondary 4
4 marks

A courier service uses an electric van to transport standardized parcels from a sorting hub to an automated parcel locker station. The van has two strict load limits that cannot be exceeded.

Maximum loading weight limit: \(850\text{ kg}\).

Maximum loading volume limit: \(6\text{ m}^3\).

Each individual parcel has the following specifications.

Weight: \(22\text{ kg}\).

Volume: \(150000\text{ cm}^3\).

  1. The courier driver commented that the van will not be able to fit 30 parcels due to the maximum loading volume limit. Do you agree with the worker? Support your answer with workings.[2]
  2. Given that 4 trolleys weighing 3.8 kg each must also be in the van during transport, calculate the maximum number of parcels that can be safely loaded in one trip?[2]

Solution:

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Answer:(a) Disagree: \(4.5\text{ m}^3<6\text{ m}^3\). (b) \(37\) parcels under the intended loading-volume assumption.

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