Question

Hi, could you help me with this problem?

The grains of sand on a beach in California have an average radius of 50 micrometers. Mass of sand that would have a total area of its surface area equal to the surface of a cube that has exactly one meter edge?. The sand is silicon dioxide, 1 cubic meter has a mass of 2600 kg.

Answer 1

first the surface area of cube is 6l^2 where 'l' 1m=6m square
next find surface area of 1 sand particle using 4pi r^2 formula
divide surface area of cube/surface area of 1 grain of sand to find the number of grains
last density=mass/volume
mass=d*volume
find all the volume of the sand and then find the mass
as cube and sand are made up of silicon of same density

Answer 2

Thank you Salini for your help... =)