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Grains of sand are very small, there being about 3000 grains in one cubic centimeter (cm\(^3\)) of sand. A cm\(^3\) is a small cube measuring one cm on each side and is about the size of your little finger from the fingernail onward. Given that there are one million cubic centimeters (cm\(^3\)) in one cubic meter (m\(^3\)), how many grains are there in 1 m\(^3\) of sand?

Answer :

Final answer:

There are three billion grains of sand in one cubic meter.

Explanation:

To calculate the number of grains of sand in 1 cubic meter (m3), you can first find out how many grains are in one cubic centimeter (cm3) and then scale it up to a cubic meter.

Given that there are about 3,000 grains in one cubic centimeter of sand and there are one million cubic centimeters in one cubic meter, you can multiply these two numbers to find the total number of grains in a cubic meter.

The calculation is as follows:

  • Number of grains per cm3 = 3,000
  • Number of cm3 in one m3 = 1,000,000
  • Total number of grains in one m3 = 3,000 grains/cm3 × 1,000,000 cm3/m3

Therefore, the total number of grains in one m3 of sand is:

3,000 grains/cm3 × 1,000,000 cm3/m3 = 3,000,000,000 grains/m3

Hence, there are three billion grains of sand in one cubic meter.

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