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Let H be the rate of heat transfer
A = cross sectional area
T = temperature difference
t = thickness
k = constant
H = kAT / t
480 = k (3)(10)/0.05
k = (480)(0.05)/30 = 0.8
Get H when A=3.75, t=0.06, T=8
H = kAT / t
= (0.8)(3.75)(8)/0.06
H = 400 W
OR just use proportions, since k is the same for both situations:
k = Ht / AT
H1 t1 / A1 T1 = H2 t2 / A2 T2
(480)(0.05) / (3)(10) = (H2)(0.06)/(3.75)(8)
H2 = (480)(0.05)(3.75)(8) / (3)(10)(0.06)
= 400W