Question 630365
The diagonal of one face of a cube is 5√2 centimeters long.
 What is the total area of the cube?
:
let s = side of the cube
Using pythag: a^2 + b^2 = c^2
:
{{{s^2 + s^2 = (5sqrt(2))^2}}}
{{{2s^2 = 25(2)}}}
Divide both sides by 2
{{{s^2 = 25}}} sq/cm the area of one side of the cube
then
6(25) = 150 sq/cm total of the 6 sides of the cube