Question

The volume of a neutron is about 10−45 cubic meters. Suppose you packed the number of neutrons you found for problem 4 into a cube so that the neutrons touched edge to edge. How big would the cube be? (Hint: Problem 4 states that a neutron star has a mass of 3.4×1030 kg and each neutron has the mass 1.7×10−27 kg. This means the neutron star contains 3.4 × 1030/1.7 × 10−27 = 2 × 1057 neutrons. Use the given volume for a single neutron to find the volume V of 2×1057 neutrons in a neutron star. Now set this equal to V = X3 and solve for the size X of a cubical neutron star.)