The formula for a surface area of a cube is S equals 6x^2 where X is the length of one side find the length of the side of a cube with a surface area of one 50 in.²

Answer 1

Cube surface area given as 6x².

If the surface area = 50 in², find the length x of any of the sides.

Set up and solve the equation

50 = 6x²

and solve for x

Divide all terms of the equation by 2 (not absolutely necessary, but makes things a little neater) to get

25 = 3x²

Now divide all terms by 3 to get

25/3 = x²

Take the square root of all terms (note there is a + and a - root):

+/- 5/sqrt(3) = x.

The + root is the one that makes sense so x = 5/sqrt(3) is the length of any side of the cube