A body of mass $2 \mathrm{kg}$ moves under a force of $\left(2\hat{\mathrm{i}}+3\hat{\mathrm{j}}+5\hat{\mathrm{k}}\right)\mathrm{N}$ It starts from rest and was at the origin initially. After $4 \mathrm{s}$, its new coordinates are $\left(8,b,20\right)$. The value of $b$ is ______.

(Round off to the Nearest Integer)