Question Details

A cubical vessel of side 1 m is filled completely with water. How many millilitres of water is contained in it (neglect thickness of the vessel?

Options

A

1000

B

10000

C

100000

D

1000000

Show Answer

Correct Answer :

Option D

1000000

Solution :

The correct option is 1000000.

To find the volume of water contained in the cubical vessel in millilitres, we can follow these step-by-step calculations:

Step 1: Calculate the volume of the cubical vessel in cubic metres (m3)
The formula for the volume of a cube is given by:

Volume=side3

Given that the side of the cubical vessel is 1 m:

Volume=(1 m)3=1 m3

Step 2: Convert the volume from cubic metres (m3) to litres (L)
We know the standard conversion factor:

1 m3=1000 L

Therefore, the vessel holds 1000 litres of water.

Step 3: Convert litres (L) to millilitres (mL)
We also know that:

1 L=1000 mL

Multiplying the volume in litres by 1000 gives the volume in millilitres:

Volume in mL=1000×1000 mL=1000000 mL

Thus, the cubical vessel contains 1,000,000 millilitres of water.

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