Earth has a radius of about 12,500 km. If the volume of the earth were to remain the same, but the shape of the earth was a cube, what would be the approximate length of one side of the cube?

A.)12,500 km B.)15,240 km
C.)20,150 km

1 answer

volume of earth =(4/3)π (12500)^3 = appr.8.18123*10^12 km^3 (I stored answer in my calculator's memory)

x^3 = 1.18123 * 10^12
x = cube root(1.18123*10^3)= 20150 km