Textbook Problem

Use the formulas and drawing in Exercise 31 to find $\left(a\right)$ the total area $T$ and (b) the volume $V$ of a cube with edges of length $5.3$ ft each.

A cube is a right square prism in which all edges have the same length. For the cube with edge $e$,

$a)$ Show that the total area is $T=6e^2$.

$b)$ find the total area if $e=4$ cm.

$c)$ Show that the volume is $V=e^3$.

$d)$ find the volume if $e=4cm$.