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Answer :
The mass of the sand in Erin's sandbox is calculated by multiplying the mass of a single grain (1.5 x 10^-5 grams) with the number of grains (3.067 x 10^11), yielding 4.6005 x 10^6 grams or 4600.5 kilograms.
To calculate the mass of the sand in Erin's sandbox, we need to multiply the average mass of a single grain of sand by the total number of sand grains. The average mass of a grain of sand is 1.5 x 10^-5 grams, and the sandbox contains approximately 3.067 x 10^11 grains of sand.
Using multiplication for scientific notation, we calculate:
Mass of single grain of sand x Number of sand grains = Total mass
(1.5 x 10^-5 grams) x (3.067 x 10^11) = 4.6005 x 10^6 grams
Converting grams into kilograms (since there are 1000 grams in one kilogram), the total mass in kilograms is:
4.6005 x 10^6 grams \/ 1000 = 4600.5 kilograms
Therefore, the mass of the sand in Erin's sandbox is 4600.5 kilograms.
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Answer:
4.6005 * 10^6 grams
Step-by-step explanation:
Average mass of sand grain = 1.5 * 10^-5 grams
Number of grains in Erin's sandbox = 3.067 * 10^11 grains
To obtain the mass of sand in Erin's grain box :
We multiply the mass per sand grain and the number of grains
(1.5 * 10^-5) * (3.067 * 10^11)
1.5 * 3.067 = 4.6005 * (10^(-5+11))
4.6005 * 10^6 grams