The density of a neutron star in the center is a whopping 1.00 × 1018 kg/m3!! Suppose you had a cube of this material that was an inch (2.54 cm) on each side. What would it's mass be?
A.2.54 × 1013 kg
B.6.16 × 1018 kg
C.1.63 × 1013 kg
D.1.7 × 1019 kg
First you have to find the volume of the cube:
V=r^3=2.54^3 =16.39 cubic cm =1.639×10^-5 m^3 (cubic meters)
Density=mass/volume
10^18 =m/1.639 x 10^-5 multiply both sides by 1.639 x 10^-5
m=10^18 x (1.639 x 10^-5)
m=16,390,000,000,000=~1.64 x 10^13 kg - mass of cubic inch of neutron matter. The answer? "C"