<PRE><B>Question 216752</B>
If a cube has a surface area of 294cm2, what are its dimensions and what is its volume?


Step 1.  Surface Area = 6 * Area of Square Face = 6s^2 where s is the side or edge of the cube.


Step 2.  Then, 294=6s^2 or 49=s^2 after dividing by 6 to both sides of the equation. Taking the square root to both sides yields s=7.


Step 3.  The volume = V = s^3 = 7^3 = 343  cubic cm.


Step 4.  ANSWER.  The dimensions are 7 cm by 7 cm by 7 cm and the volume is 343 cubic cm.


I hope the above steps were helpful. 


For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.


And good luck in your studies!


Respectfully,
Dr J</PRE>