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VDot = (dw/dt)(h)(l) + w(dh/dt)(l) + w×h(dl/dt)? But dl/dt not defined.
Assume length is constant, so only dw/dt and dh/dt contribute to dV/dt.
Then dV/dt = (dw/dt)(h)(l) + w(dh/dt)(l) = l [ (dw/dt)h + w(dh/dt) ]
But l unknown.
But V = w×h×l = 1,440 m³
And dV/dt = 1,440 × (dw/dt × (1/h) + w × (dh/dt)/h)? No.
Correct: dV/dt = (dw/dt)(h×l) + (dh/dt)(w×l) + (dw/dt)(dh/dt)×l? No — chain rule gives:
dV/dt = ∂V/∂w × dw/dt + ∂V/∂h × dh/dt + ∂V/∂l × dl/dt
But only dl/dt = 4 m/s, others unknown.
Assume the length l is constant, so ∂V/∂l independent, but missing rate.