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CSEC Mathematics · 2021 · Paper 2 · Question 6(a)

Farmer Brown makes troughs to feed his farm animals, using wood that is 5\text{ cm} thick. As shown in the diagram, the troughs are rectangular-based, open at the top and have external dimensions of 300\text{ cm} by 190\text{ cm} by 160\text{ cm}.

Show, by calculation, that the internal capacity (volume) of the trough is 8\,091\,000\text{ cm}^3.

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Other parts of this question

  1. 6(b)Calculate the volume of wood needed to make a trough.[3 marks]
  2. 6(c)Farmer Brown must paint the INTERNAL surface of the trough. Given that 1 gallon of paint covers approximately 280\,000\text{ cm}^2 of surface, determine the…[3 marks]

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