The 12 cylindrical cans are packed in a closed cardboard box shaped liked a rectangular prism.Each can has a diameter of 9 cm and a height of 11 cm. The surface area of the cardboard used for box of 12 cans is 3330 cm2Determine the best possible way to configure 18 cans to minimize the cardboard used to make the packaging and minimize the wasted space in each box.Q 1.1Suggest the dimensions for at least 5 different configurations as possible.
Question
The 12 cylindrical cans are packed in a closed cardboard box shaped liked a rectangular prism.Each can has a diameter of 9 cm and a height of 11 cm. The surface area of the cardboard used for box of 12 cans is 3330 cm2Determine the best possible way to configure 18 cans to minimize the cardboard used to make the packaging and minimize the wasted space in each box.Q 1.1Suggest the dimensions for at least 5 different configurations as possible.
Solution
The configurations for packing the cans in the box can be determined by considering the dimensions of the cans and the number of cans to be packed. The diameter of each can is 9 cm and the height is 11 cm.
Here are five possible configurations:
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Configuration 1: 3 cans in a row, 4 rows in a layer, and 1 layer. This would give a box with dimensions 27 cm by 36 cm by 11 cm.
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Configuration 2: 2 cans in a row, 6 rows in a layer, and 1 layer. This would give a box with dimensions 18 cm by 54 cm by 11 cm.
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Configuration 3: 3 cans in a row, 2 rows in a layer, and 2 layers. This would give a box with dimensions 27 cm by 18 cm by 22 cm.
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Configuration 4: 2 cans in a row, 3 rows in a layer, and 2 layers. This would give a box with dimensions 18 cm by 27 cm by 22 cm.
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Configuration 5: 1 can in a row, 6 rows in a layer, and 2 layers. This would give a box with dimensions 9 cm by 54 cm by 22 cm.
These configurations are just suggestions and the actual configuration would depend on the specific requirements of the packaging.
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