A kitchen door is attached to a vertical support by a set of hinges. Assume the door is uniform and has height $2\mathrm{.}35$ m$,$ width $0\mathrm{.}890$ m$,$ and mass $23\mathrm{.}5$ kg$.$

$($a$)$

Determine its moment of inertia $($in kg $$ m$2)$ for rotation on its hinges.

kg $$ m$2$

$($b$)$

Are any pieces of data unnecessary? $($Select all that apply.$)$

The mass of the door is unnecessary.The height of the door is unnecessary.The width of the door is unnecessary.No; all of the data are necessary.