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Question 4
ANNEXURE B shows a route map and information regarding the 42.2 km 2017 Cape Town Marathon. Use ANNEXURE B to answer the questions that follow. 4.1.1 Name the type... show full transcript
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Answer
The number of layers of cans that can be placed upright in the box is calculated as follows:
[ Number\ of\ Layers = \frac{Height\ of\ Box}{Height\ of\ Can} = \frac{35\ cm}{16.5\ cm} \approx 2.12 ]
Therefore, a maximum of 2 layers can be placed.
Step 12
Answer
The maximum number of cans is calculated as follows:
[ Length\ of\ Box = 56\ cm \quad and\quad\ length\ of\ can\ = 12.6\ cm ]
[ Number\ of\ Cans\ Packed\ Lengthwise = \frac{Length\ of\ Box}{Diameter\ of\ Can} = \frac{56\ cm}{12.6\ cm} \approx 4.44 ] (Rounded down to 4).
[ Width\ of\ Box = 41\ cm \quad and\quad Diameter\ of\ Can = 12.6\ cm]
[ Number\ of\ Cans\ Packed\ Widthwise = \frac{41\ cm}{12.6\ cm} \approx 3.25 ] (Rounded down to 3).
The maximum number of cans that can be packed is:
[ Total\ Cans = 4\ (Lengthwise) \times 3\ (Widthwise) \times 2\ (Layer) = 24\ cans. ]
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