The perceptron is a linear classifier that separates the data, in any dimension, through hyper planes. If the dimension is $2,$ for example, the perceptron uses lines in R$2$ to perform the classification.

Part A: Can a perceptron be used to know whether or not any given point $($x$,$y$,$z$)$ is inside of a cube with a center at $(0,0,0)$ and volume equal to $8?$

Part B: Justify your answer. If you answered yes, explain the way a perceptron has to be designed in terms of neurons, layers, outputs, etc. If you answered, no$,$ also justify your answer.