Respuesta :

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