A uniform metal rod 40cm long floats vertically in a beaker so that its bottom 10cm is in mercury of density 13.6g cm−3, the next 20cm is in water of density 1.0g cm−3 and the top 10cm is above the water surface. Neglecting the buoyant effect of air, what is the density of the metal?
a) 3.4g cm−3
b) 5.2g cm−3
c) 7.0g cm−3
d) 3.9g cm−3