How long does it take the Sun to melt a block of ice

[itryphysics]

Homework Statement

How long does it take the Sun to melt a block of ice at 0 celsius with a flat horizontal area 1.0 m^2 and thickness 1.0 cm ? Assume that the Sun's rays make an angle of 30 with the vertical and that the emissivity of ice is 0.050.

Homework Equations

delta [Q] / delta [t] = (1000W/m^2)(emissivity)A(cos theta)

The Attempt at a Solution

delta [Q] / delta [t] = 1000(.05)(cos30)

I know that this does not give me time. I don't know how to manipulate this equation..please help . Thanks!

 

[Redbelly98]

What should ΔQ be, in order to melt a block of ice of the given volume?