Question 1178047
.
Find the total area and volume of a cube whose face diagonal is 8 ¼ inches?
~~~~~~~~~~~~~~



<pre>
The edge length of the cube is  {{{8.25/sqrt(2)}}} inches;


The total surface are of the cube is  {{{6*(8.25/sqrt(2))^2}}} = 204.19 square inches (rounded).  


The volume of the cube is  {{{(8.25/sqrt(2))^3}}} = 198.53 cubic inches (rounded)   
</pre>

Solved.