Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A nucleus has the mass number . Treat its mass as u. Find its radius, its volume and its density. Then find the mass of a cube of nuclear matter with an edge of mm, and how many times the density of water this density is.
A nucleus of mass number has a radius with fm, and m. Its mass is about atomic mass units, with kg. The density is the mass over the volume , and it is the same for every nucleus.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. , so the mass is kg.
Step 1. The radius. m.
Step 2. The volume. .
Step 3. The density. .
Step 4. The cube. The volume is . The mass is kg. That is tonnes in a cube the size of a grain of salt.
Step 5. Compared with water. .
Answer: , kg, and times water.
What if? Any other nucleus gives the same density. The mass number cancels.
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