surface area of a cube is given by the formula;
[tex]A=6a^2[/tex]where A is the area and a is the length
substitute A = 150 in the above and then solve for a
[tex]150=6a^2[/tex]Divide both-side of the equation by 6
[tex]\frac{150}{6}=a^2[/tex][tex]25=a^2[/tex]Take the square root of both-side
[tex]5=a[/tex]The length of each side is 5 in