A plugged dishwasher sink with the dimensions of $2\mathrm{.}1$ ft x $1\mathrm{.}4$ ft x $1$ ft is being filled with water from a faucet with an inner diameter of $1$ in$.$ It takes $42$ seconds to fill the sink to its rim. Assume constant water density.

What is the volume flow rate $($in $f\frac{t^3}{s})$ of the water?

$f\frac{t^3}{s}$

What is the cross$-$sectional area $($in $f{t}^2)$ of flow?

$f{t}^2$

What is the average speed $($in $f\frac{t}{s})$ of water coming out of the faucet?

$f\frac{t}{s}$