High School

One grain of sand weighs [tex]7 \times 10^{-5}[/tex] grams. How many grains of sand are there in 6300 kg of sand?

Answer :

Final answer:

To calculate the number of grains of sand in 6300kg, convert the mass to grams and divide by the weight of one grain. After converting 6300kg into 6300000 grams, you divide by 7 x 10⁻⁵ grams per grain to get 9 x 10⁻⁵ grains.

Explanation:

To find out how many grains of sand are in 6300kg of sand, we first need to convert the weight of the sand from kilograms to grams, since the weight of one grain of sand is given in grams. Remember that 1 kilogram is equal to 1000 grams. So, we convert 6300 kg of sand to grams as follows:

6300 kg = 6300 × 1000 g = 6300000 g

Now, we will use the weight of one grain of sand to determine how many grains there are in 6300 kg. Since one grain of sand weighs 7 x 10⁻⁵ grams:

Number of grains = Total weight in grams / Weight of one grain


Number of grains = 6300000 g / (7 x 10⁻⁵ g/grain)


Number of grains = 6300000 / 7 x 10⁾⁵


Number of grains = 9 x 10⁻⁵