Homework Help: Geometry

Posted by kiki on Saturday, July 14, 2012 at 5:49pm.

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

Geometry - Reiny, Saturday, July 14, 2012 at 6:04pm
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

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