Question

FILL A ROOM COMPETITION

To raise money for a school fete, a competition is held.
Students must guess the number of bags of plastic beads that would be needed
to fill a classroom. Each bag holds 100 litres of beads.



QUESTION

One kilo litre of beads fills one cubic metre.

Show by your working that the volume of one bag of beads is 0.1 cubic metres.​

Answer 1

Answer:

Step-by-step explanation:

we know that 1 cc=1 ml

or 1 cm³=1 ml

1 liter= 1000 ml=1000 cm³

Each bag holds 100 liters of beads.

each bag= 100 liters=100*1000 cm³

Now 1 m³= 1 m x 1 m x 1 m=100 cm x 100 cm x 100cm

         1 m³  =  1000000 cm³=1000000/1000 liters

so 1 m³=1000 liters

1 bag  = 100 liters=1/10 m³=0.1 m³

Answer 2

Answer:

We know that 1 cm³ = 1ml.

Also, 1 liter = 1000ml

Therefore, 1 liter = 1000×1 = 1000cm³

If 1 liter equals 1000cm³, then 100 liters will equal 100×1000, i.e., 100000cm³.

So, 100 liters = 10⁵cm³

It is given that each bag holds 100 liters of beads. Therefore, each bag contains 10⁵cm³ of beads.

Now, we know that 1m = 100cm. So, 1m³ = 100×100×100 cm³.

1m³ = 10⁶cm³

To convert cm³ to liters, we divide it by 1000. Therefore,

1m³ = 10⁶/10³

1m³ = 10³ liters

1m³ = 1000 liters

To convert liters into m³, we divide it by 1000. Therefore,

1 bag = 100 liters

1 bag = 100/1000

1 bag = 0.1m³

Therefore, the volume of one bag of beads is 0.1 cubic meters.

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