You know that the volume of the fish tank in the shape of a cube:
[tex]V=90in^3[/tex]
By definition, the formula for calculating the volume of a cube is:
[tex]V=a^3[/tex]
Where "a" is the length of each edge of the cube.
If you solve for "a", you get this formula:
[tex]a=\sqrt[3]{V}[/tex]
In this case, knowing the volume of the cube, you can substitute it into the second formula and evaluate, in order to find the length of each edge of the cube:
[tex]\begin{gathered} a=\sqrt[3]{90in^3} \\ \\ a\approx4.48in \end{gathered}[/tex]
The surface area of a cube can be found using this formula:
[tex]SA=6a^2[/tex]
Where "a" is the length of each edge of the cube.
Substituting the value of "a" into the formula and evaluating, you get:
[tex]SA=6(4.48in)^2\approx120in^2[/tex]
Hence, the answer is: Second option.
