Help on conversion with mass involved

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The discussion focuses on calculating the mass of sand grains needed to match the surface area of a cube measuring 1.50 m on each edge. It begins by establishing the properties of the sand grains, which are spherical with an average radius of 45 µm and made of silicon dioxide. The volume of a single grain of sand is derived using the formula for the volume of a sphere. Additionally, the density of silicon dioxide is noted as 2600 kg/m³, which is relevant for determining the mass of the sand. The key calculations involve finding the surface area of the cube and relating it to the total surface area of the sand grains.
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Homework Statement



Grains of fine California beach sand are approximately spheres with an average radius of 45 µm and are made of silicon dioxide. A solid cube of silicon dioxide with a volume of 1.00 m3 has a mass of 2600 kg. What mass of sand grains would have a total surface area (the total area of all the individual spheres) equal to the surface area of a cube 1.50 m on an edge?

answer is in kg

Homework Equations


volume of sphere=4/3*pi*r^3


The Attempt at a Solution

 
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rt3ll3z said:

Homework Statement



Grains of fine California beach sand are approximately spheres with an average radius of 45 µm and are made of silicon dioxide. A solid cube of silicon dioxide with a volume of 1.00 m3 has a mass of 2600 kg. What mass of sand grains would have a total surface area (the total area of all the individual spheres) equal to the surface area of a cube 1.50 m on an edge?

answer is in kg

So what is the volume of 1 grain of sand?

What is the density of the Silicon dioxide?

What is the surface area of 1 sphere?
 
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