Help on conversion with mass involved

[rt3ll3z]

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

 

[rock.freak667]

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?