The figure shows a metallic block, with its faces parallel to coordinate axes. The block is in a uniform magnetic field of magnitude $0\mathrm{.}020$ T$.$ One edge length of the block is $26$ cm ; the block is not drawn to scale. The block is moved at $2\mathrm{.}5\frac{m}{s}$ parallel to each axis, in turn, and the resulting potential difference $V$ that appears across the block is measured. With the motion parallel to the $y$ axis, $V=16mV$; with the motion parallel to the $z$ axis, $V=14mV$; with the motion parallel to the $x$ axis, $V=0.$ What are the block lengths $($a$)d_x,($b$)d_y,$ and $($c$)d_2?$