I want to cut 10 identical rectangles, each 6cm x 10cm, from rectangular plastic boards that are 15cm x 20cm. Each of the 10 rectangles must be cut out as one piece - joins are not allowed.What is the smallest number of plastic boards that I can use?

Correct answer: C. 4

  • A. 2
  • B. 3
  • C. 4
  • D. 5

Explanation

To efficiently cut 10 identical rectangles, each 6cm x 10cm, from 15cm x 20cm plastic boards, you need a minimum of 4 boards. By cutting 2 rectangles from each of the 4 boards, you can achieve the required quantity without wastage. Options A, B, and D are incorrect because they would either result in wastage or not meet the required dimensions efficiently.

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Scientific reasoning evaluates hypotheses through observations, variables, controls, measurements and experimental results. Questions involve identifying independent and dependent variables, recognising a fair test, interpreting tables or graphs, distinguishing evidence from opinion, and deciding whether data supports, rejects or leaves a hypothesis unresolved.

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