Describe briefly the difference between $2$D and $3$D convolutions? $[15$ marks$]$

$($a$)$ The input size to a $2$D conv layer is $224\backslash$times $224\backslash$times $12.$ What is the total number of parameters in the

conv layer for output size of $222\backslash$times $222\backslash$times $10?$

$($b$)$ If the same input as mentioned above in $($a$)$ is given to a $3$D conv layer to produce the same size output

i$.$e$.226\backslash$times $226\backslash$times $14,$ what would be the number of parameters in the conv layer.