10. A cube has edge length c. (a) Write a formula for the surface area of the cube. (b) Use the formula to find the surface area when c is 6 cm.

Answer:
a) [tex]6c^2[/tex]
b) 216 cm^2
Step-by-step explanation:
A) the area of one face of the cube, is the side length x the side length. As it is a cube, all sides are the same length, so we do c x c = [tex]c^2[/tex]
There are 6 faces in a cube so we have to times one face by 6 to get [tex]6c^2[/tex]
B) c = 6
substituting this into the equation we made:
6 x (6)^2
6 x 36
216
So the surface area is 216 cm^2.
Hope this helps, let me know if you have any questions :)