Convert 5000m^3 to km^3

If you divide a unit by itself, then just like a variable, it cancels out.

For example:
5 m / m = 5

So cancel out the m³, but you don't want to change the value. One meter is equal to 100 cm, so to convert each of the meters, you would do:
1 m³ ( 100 cm / m ) ( 100 cm / m ) ( 100 cm / m )

Note that 100cm/m is equal to 1 because the numerator equals the denominator: 100 centimeters = 1 meter. You would actually read 100cm/m as "one hundred centimeters per meter".
Make sure that m is on the bottom so it cancels out the m that is originally there.
The long line above can be simplified by:
= 1 m³ ( 100 cm / m )³

Then just solve:
= 1 m³ ( 100³ cm³ / m³ )
= 1 ( 100³ cm³ / 1 )
= 1·100³ cm³
= 1000000 cm³

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Same idea for the other one:
35 mm²
= 35 mm² ( (1cm) / (10mm) )²
= 35 mm² (1² cm²) / (10² mm²)
= 35 (cm²) / (10²)
= 0.35 cm²

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5000 m³

5000 m³ ( 1000m/km )³
... What's the problem there?
Notice how m is on the top. That means it won't cancel out the m³ in the problem.

Instead, do:
= 5000 m³ ( km/ (1000m) )³
Now meters are on the bottom, and they will cancel out the original m³.
= 5000 m³ ( km³ ) / ( 1000³ m³)
= 5000 ( km³ ) / ( 1000³ )
= 5 ( km³ ) / ( 1000² )
= 0.005 ( km³ ) / ( 1000 )
= 0.000005 km³

cubic meters to cubic kilometers:
= 5,000 cubic meters/(1,000³)
= 5,000 cu meters/1,000,000,000
= 0.000005 cu km

Answer: 0.000005 cubic kilometers

cubic meters to cubic centimeters:
= 100³ cubic centimeters
= 1,000,000 cubic centimeters

Answer: 1,000,000 cubic centimeters

square millimeters to square centimeters:
= 35 square millimeters/10²
= 35 square millimeters/100
= 0.35 square centimeter

Answer: 0.35 square centimeter

To convert from one cubic unit to another cubic unit, always cube the conversion.

For the first and second examples.

5000 meters equals 5 kilometers as there are 1000 meters in a kilometer. But following the rule we have above, there are 1,000,000,000 cubic meters in one cubic kilometer. Therefore, 5000 m^3 equals 5000/1,000,000,000 or 0.000005 km^3.

1 m equals 100 centimeters so 1 m^3 equals 1,000,000 cm^3

To convert from one square unit to another square unit, always square the conversion.

For the third example

There are 35 millimeters equals 3.5 centimeters as there are 10 millimeters in one centimeters. But following the rule we have above, there are 100 square millimeters in one square centimeter. Therefore, 35 mm^2 equals 35/100 or 0.35 cm^2.

Hope this helps.

1km^3=1000m^3
so,5km^3=5000m^3.
1m^3=100cm^3
35mm^2=3.5cm^2.
I had tried my best to give your ans.

1)
1 km³ = 1,000 m x 1,000 m x 1,000 m = 1000,000,000 m³
1 m³ = 1/1,000,000,000 km³ (0.000000001 km³)
5000 m³ = 5000/1,000,000,000 km³ = 1/200000 km³ (0.000005 km³)

2)
1 m³ = 100 cm x 100 cm x 100 cm = 1,000,000 cm³

3)
1 cm² = 10 mm x 10 mm = 100 mm²
1 mm² = 1/100 cm² (0.01 cm²)
35 mm² = 35/100 cm² = 7/20 cm² = (0.35 cm²)

1 km = 1000 m = 10 ³ m
1 km ³ = 10^9 m ³

10^9 m ³ <-----------> 1 km ³
5000 m ³<------------>5000 / 10^9 km ³

5 x 10^(- 6) km ³ = 5 / 10^6 km ³

1 m <--------------->10 cm
1 m ³ <--------------->10 ³ cm

1 mm<----------->10^(-1) cm
1 mm ² <--------->10^(-2) cm ²
35 mm ² <-------> 35 x 10^(-2) cm ² = 0.35 cm ²

see this site my dear...

http://www.onlineconversion.com/volume.htm

hope this will help you..

--regards--