The company places supporting thermocol sheets inside every package along the edges. The company thought of procuring same sized sheets for all types of cartons.
1)What should be the maximum size of the sheet that fits into all type of cartons?(a) 6 by 4 (b) 6 by 2(c) 4 by 2 (d) 4 by 4
2)How many such sheet sizes are possible?(a) 1 (b) 2(c) 3 (d) 4
Small 6*8
Medium 12*24
Large 24*36
Extra large 36*48
XXL 48*96
Answers
Answer:
1) a
2)b
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I hope this helps
The company places supporting thermocol sheets inside every package along the edges. The company thought of procuring same-sized sheets for all types of cartons, the size that will be the most suitable for them will be 6 by 4.
Step-by-step explanation:
The thermocol sheets that should be used for placing them inside the package along the edges are sheets that are 6 by 4, because this is the largest size of the sheet available and it is still smaller than the company's smallest box, and all the other box sizes are multiples of the smallest box and also using these sheets will cut down the cost as fewer sheets will be used per boxes.
Hence 6 by 4 (option a) sized sheets are the best ones to use.
As for the second part, how many sheets are required for each box size.
For the Small sized box: 6*8
We have to place the sheet in such a manner that it matches the boxes dimensions. So if we place two sheets of 6 by 4, touching each other 6 unit side. Then upon adding we get the dimensions 6*8. So we need Two 6 by 4 sheets for a small-sized box.
For a Medium-Sized box: 12*24
We have to place the sheet in such a manner that it matches the boxes dimensions. So if we place Four sheets of 6 by 4, touching each other 6 unit sides and add one more sheet adjacent to each sheet touching their 4 unit sides. Then upon adding we get the dimensions 12*24. So we will need Eight 6 by 4 sheets for a medium-sized box.
For a Large-Sized box: 24*36
We have to place the sheet in such a manner that it matches the boxes dimensions. So if we place Six sheets of 6 by 4, touching each other 4 unit sides and add six more sheets adjacent to each sheet in the first line touching the 6 unit size. Then upon adding we get the dimensions 12*24. So we will need Thirty Six 6 by 4 sheets for a large-sized box.
For an Extra Large-Sized box: 36*48
We have to place the sheet in such a manner that it matches the boxes dimensions. So if we place Eight sheets of 6 by 4, touching each other 4 unit sides and add nine more sheets adjacent to each sheet in the first line touching the 6 unit size. Then upon adding we get the dimensions 36*48. So we will need Seventy Two 6 by 4 sheets for an extra large-sized box.
For an XXL -Sized box: 48*96
We have to place the sheet in such a manner that it matches the boxes dimensions. So if we place Sixteen sheets of 6 by 4, touching each other 4 unit sides and add twelve more sheets adjacent to each sheet in the first line touching the 6 unit size. Then upon adding we get the dimensions 36*48. So we will need One Hundred Ninty Two 6 by 4 sheets for an XXL-sized box.
Hence for making every larger dimension of the box put the sheets touching each other by their 4 unit size and then to make the smaller dimension increase the number of sheet rows by touching the 6 unit side of the first row.
