Consider an electric scalar potential distribution $V=10xy-3y{z}^2-2x{z}^2.$

a$)$ What is the electric field distribution $E?(7$ points$)$

b$)$ What is the charge density $($or charge distribution$){}_v?(7$ points$)$

c$)$ What is the total amount of charge in a cube defined as $0x1,0y1$ and $0z1?(6$ points$)$