how many times does one nanometer go into one inch cubed?
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To determine how many times one nanometer fits into one cubic inch, we can follow a similar process as before. Here’s the step-by-step calculation:
1. Convert Cubic Inches to Cubic Nanometers
1 inch = 25.4 millimeters
1 millimeter = 1,000 micrometers
1 micrometer = 1,000 nanometers
Thus,
1 inch=25.4×106 nanometers1inch=25.4×106nanometers
2. Calculate the Volume in Cubic Nanometers
To find the volume of 1 cubic inch in cubic nanometers:
(25.4×106 nm)3=25.43×1018 nm3(25.4×106nm)3=25.43×1018nm3
Calculating 25.4325.43:
25.43≈16,387.064 nm325.43≈16,387.064nm3
Thus:
1 in3≈16,387.064×1018 nm3≈1.6387×1022 nm31in3≈16,387.064×1018nm3≈1.6387×1022nm3
3. Calculate How Many 1 Nanometer Cubes Fit in 1 Cubic Inch
The volume of one cube with sides of 1 nanometer is:
Volume of one 1 nm cube=(1 nm)3=1 nm3Volume of one 1 nm cube=(1nm)3=1nm3
4. Divide the Total Volume by the Volume of One Cube
To find how many 1 nm cubes fit into 1 cubic inch:
Number of cubes=1.6387×1022 nm31 nm3=1.6387×1022Number of cubes=1nm31.6387×1022nm3=1.6387×1022
Conclusion
Approximately
16.39 sextillion (or 1.639×10221.639×1022) cubes of 1 nanometer would fit into one cubic inch.