John needs 6 m of wood to build a diving board. The wood comes in different size packages. Select all the packages John could buy that would meet his needs?

3 pieces at 2000 mm each

4 pieces at 1.5 cm each

6 pieces at 100 mm each

6 pieces at 100 cm each

8 pieces at 200 mm each



Answer :

On calculating using conversions, John can select either the package of wood with (a) 3 pieces of 2000mm each or the one with (d) 6 pieces of 100cm each.

On conversion of units from mm and cm to m:

1m = 100cm

1m = 1000mm

Therefore,

Since John requires 6m of wood to build a diving board, using unit conversions:

3 pieces of 2000mm each:

2000mm = 2m = 2m x 3 = 6m

4 pieces of 1.5 cm each:

1.5cm = 0.015m x 4 = 0.06m

6 pieces of 100 mm each:

100mm = 0.1m x 6 = 0.6m

6 pieces of 100 cm each:

100cm = 1m x 6 = 6m

8 pieces of 200 mm each:

200mm = 0.2m x 8 = 1.6m

Result:

The package with 3 pieces wood of 2000mm each equals to 6m of wood.

Similarly, the package with 6 pieces wood of 100cm each equals to 6m of wood.

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