This part of the course looks at methods for packing boxes and other containers.
Example
Rubbo rubbers have the dimensions 65 x 23 x 13 mm
How many of these rubbers can fit into a box which has dimensions 13.2 x 11.8 x 2.8 cm ?
Solution
Look at the dimensions and see how you can fit the rubbers into the box.
Pay attention to the units !
65 x 23 x 13 mm
is
6.5 x 2.3 x 1.3 cm
The box has dimensions 13.2 x 11.8 x 2.8 cm
so the base could be filled with 10 rubbers on the base :
And two layers high
Giving twenty rubbers in total.
This is a rather simplistic way of putting items into a container.
It is the method used for the SQA National 4 Lifeskills Maths course.
Items are taken in order of arrival and placed in the container.
Example
A box can only hold 10 Kg.
Pack the following weights into boxes : 7kg, 8Kg, 2 Kg, 3 Kg
With the first fit algorithm, 3 boxes are required :
Items are arranged in decreasing size, then placed in the container. It is one method used for the SQA National 5 Lifeskills Maths course.
Using the example from above.
A box can only hold 10 Kg.
Pack the following weights into boxes : 7kg, 8Kg, 2 Kg, 3 Kg
First, put the weights into order of decreasing size:
8kg, 7Kg, 3 Kg, 2 Kg
Then pack into the containers.
With the decreasing first fit algorithm, 2 boxes are required :
Items are placed in the container as best as possible.It is one method used for the SQA National 5 Lifeskills Maths course.
Using the example from above.
A box can only hold 10 Kg.
Pack the following weights into boxes : 7kg, 8Kg, 2 Kg, 3 Kg
With the best fit algorithm, 2 boxes are required :