The diagram shows a cube - Edexcel - GCSE Maths - Question 19 - 2020 - Paper 3
Question 19
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:
11.3−0.05=11.25extcm.
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.