He's actually fine, because his cone of productivity only fills about 26.2% of his virtual cubical (assuming the cubical is a cube), therefore of his 8 hours of work, he only owes about 2 of productivity.
Maths:
Cube = L ^ 3
Cone = 1/3 * B * h
B = ∠* r ^ 2
r = L / 2
h = L