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Metric Conversion

Which of the following is not the same as 1.69 meters?
A. 0.0169 km
B. 0.169 dkm
C. 169 cm
D. 1,690 mm

I don't just want the answer; I want to know how to solve this.

A cube 20 cm on one side could contain how many milliliters of fluid?

How many liters of fluid is this?

Answer :

Answer and Explanation:

1) To find : Which of the following is not the same as 1.69 meters?

Solution :

To know we have to convert unit in given options unit.

Meter into kilometer,

[tex]1 \text{ meter} = \frac{1}{1000} \text{ kilometer}[/tex]

[tex]1.69 \text{ meter} = \frac{1.69}{1000} \text{ kilometer}[/tex]

[tex]1.69 \text{ m} =0.00169\text{ km}[/tex]

1 option is not same.

Meter into dekameter,

[tex]1 \text{ meter} = \frac{1}{10} \text{ dekameter}[/tex]

[tex]1.69 \text{ meter} = \frac{1.69}{10} \text{ dekameter}[/tex]

[tex]1.69 \text{ m} =0.169\text{ dkm}[/tex]

2 option is same.

Meter into centimeter,

[tex]1 \text{ meter} =100 \text{ centimeter}[/tex]

[tex]1.69 \text{ meter} =1.69\times 100\text{ centimeter}[/tex]

[tex]1.69 \text{ m} =169\text{ cm}[/tex]

3 option is same.

Meter into millimeter,

[tex]1 \text{ meter} =1000 \text{ millimeter}[/tex]

[tex]1.69 \text{ meter} =1.69\times 1000\text{ millimeter}[/tex]

[tex]1.69 \text{ m} =1690\text{ mm}[/tex]

4 option is same.

Therefore, Only option 1 is not same.

2) Given : A cube 20 cm on one side.

To find : A cube contain how many milliliters of fluid ?How many liters of fluid is this?

Solution :

First we find the volume of the cube,

Side of cube is 20 cm.

Volume of cube is [tex]V=s^3[/tex]

[tex]V=(20)^3[/tex]

[tex]V=8000cm^3[/tex]

Converting centimeter cube into milliliter,

[tex]1 cm^3=1 \text{ milliliter}[/tex]

[tex]8000 cm^3=8000 \text{ milliliter}[/tex]

Converting centimeter cube into liter,

[tex]1 cm^3=0.001 \text{ liter}[/tex]

[tex]8000 cm^3=8000\times 0.001 \text{ liter}[/tex]

[tex]8000 cm^3=8 \text{ liter}[/tex]

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Rewritten by : Barada

1.69 divide by 1000 =0.00169

169/100 = 1.69 meters
1690/1000=1.69
so the first one is not same
hope it helps