Lenght to volume conversions

In summary: But the question asks to convert 12.7m to cubic inches, which is a different conversion. In summary, to convert from length to volume, you need to first convert the length unit to the volume unit, and then cube the conversion factor. In this case, you would convert meters to inches and then cube the conversion factor of 1in to cm. However, since the original problem does not specify the shape of the object, it is not possible to provide a definitive answer.
  • #1
plutoisacomet
89
0
Hey guys, I have a question. I understand conversion units but how does one convert from Length to volume.

Example. convert 12.7m to cubic inches? If I am thinking correctly you convert m to m^3 by cubing 12.7 which becomes 2048.4m^3. Is that right? I then find to conversion factor for m to cm right? 1 m = 100cm do I then cube the 100cm like so: 100^3cm^3 Next, I now cube the conversion factor of 1in to cm right?
Is this taking me into the right direction?
:redface:
 
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  • #2
convert 12.7m to cubic inches

Is that complete statement of the problem?
 
  • #3
yes, convert 12.7m to cubic inches.
 
  • #4
plutoisacomet said:
yes, convert 12.7m to cubic inches.
Hmm...strange.

plutoisacomet said:
Example. convert 12.7m to cubic inches? If I am thinking correctly you convert m to m^3 by cubing 12.7 which becomes 2048.4m^3. Is that right? I then find to conversion factor for m to cm right? 1 m = 100cm do I then cube the 100cm like so: 100^3cm^3 Next, I now cube the conversion factor of 1in to cm right?
Is this taking me into the right direction?
:redface:

That would be right if you were asked to find the volume of a cube of side 12.7m, in terms of cubic inches.
 

1. What is the formula for converting length to volume?

The formula for converting length to volume depends on the shape of the object. For a cube, the formula is V = l^3, where l represents the length of one side. For a cylinder, the formula is V = πr^2h, where r is the radius of the base and h is the height.

2. How do I convert centimeters to liters?

To convert centimeters (cm) to liters (L), you will need to know the density of the substance you are measuring. Once you have the density, you can use the formula V = lwh, where l represents the length in cm, w represents the width in cm, and h represents the height in cm. Then, divide the result by 1000 to get the volume in liters.

3. Can I convert length to volume for any shape?

Yes, you can convert length to volume for any three-dimensional shape. The formula will vary depending on the shape, but the general formula is V = lwh, where l represents the length, w represents the width, and h represents the height of the object.

4. How do I convert inches to cubic feet?

To convert inches (in) to cubic feet (ft^3), you will need to use the formula V = lwh, where l represents the length in inches, w represents the width in inches, and h represents the height in inches. Then, divide the result by 1728 to get the volume in cubic feet.

5. Why is it important to convert length to volume?

Converting length to volume is important in many scientific and engineering applications. It allows us to determine the amount of space an object occupies, which is crucial for designing and constructing buildings, containers, and other structures. It is also useful in calculating the amount of a substance in a given space, such as in chemistry and biology experiments.

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