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astraxan [27]
3 years ago
14

Please help with work shown (only if possible)

Mathematics
1 answer:
mestny [16]3 years ago
3 0

Answer:

The cylindrical one

Step-by-step explanation:

We know that the container does not have anything inside it, and we only want the surface, so we will figure out the surface area. The less surface area the package has, the less plastic is used.

The surface area for a cylinder is 2πrh +2πr². Plugging 5 in for r (the radius) and 19 in for the height, we get

2π(5)(19) + 2π(5)² = 753.98

The surface area for a rectangular prism is 2(wl + hl +hw), with 10 being the width, 12 being the length, and 19 being the height in this example, resulting in

2(10*12 + 19 * 12 + 10 * 19) = 1076

The surface area for the cylinder will clearly have less surface area/plastic

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