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The diagram shows a cube - Edexcel - GCSE Maths - Question 19 - 2020 - Paper 3

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Question 19

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The diagram shows a cube. AH = 11.3 cm correct to the nearest mm. Calculate the lower bound for the length of an edge of the cube. You must show all your working.

Worked Solution & Example Answer:The diagram shows a cube - Edexcel - GCSE Maths - Question 19 - 2020 - Paper 3

Step 1

Calculate Lower Bound

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Answer

To find the lower bound of AH, we need to account for the rounding. Since AH is given as 11.3 cm to the nearest millimeter:

  • The lower bound will be slightly less than 11.3 cm.
  • The nearest mm means the value could be as low as 11.25 cm.

Thus, the lower bound for AH is:

11.30.05=11.25extcm11.3 - 0.05 = 11.25 ext{ cm}.

The cube's edges are equal to the length of AH, so the lower bound of each edge of the cube is also 11.25 cm.

Step 2

Final Answer

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Answer

The lower bound for the length of an edge of the cube is 11.25 cm.

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