Cube of volume (1 dm3 = 1L)
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Proof that 1 dm³ is same as 1L
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Proof that 1 liter = 1 dm³
To demonstrate that 1 liter is equal to 1 cubic decimeter, we use two objects:
A cube with sides measuring 1 decimeter (dm).
A beaker labeled with a capacity of 1 liter (1 L).
Step 1: Calculate the volume of the cube
A cube's volume is found by raising the length of one side to the third power:
Volume of cube=1 dm × 1 dm × 1 dm=1 dm³
Step 2: Fill the cube with water
Fill the cube completely with water until it reaches the top edge. Since the cube has a volume of 1 dm³, the amount of water inside it is 1 cubic decimeter of water.
Step 3: Pour the water into the beaker
Carefully pour all the water from the cube into the beaker.
Step 4: Observe the beaker
The water perfectly fills the beaker up to the 1-liter mark.
Conclusion:
Since the water from a 1 dm³ cube exactly fills a 1-liter beaker, we have shown by physical measurement that:
1 liter = 1 dm³