Problem $7$: An electron is confined to a cube of $10\mathrm{.}51$ cm on each side. Part $($a$)$ What is the density of states at an energy of $0\mathrm{.}31$ eV$?$ Numeric: A numeric value is expected and not an expression. $8-$ Part $($b$)$ What is the density of states at an energy of $1\mathrm{.}68$ eV$?$ Numerie A numeric value is expected and not an expression. g$=$ Part $($c$)$ What is the density of states at an energy of $5\mathrm{.}96$ eV$?$ Numeric: A numeric value is expected and not an expression. g$=$