Answer:
[tex](\sqrt{30}-2\sqrt{5})\ m[/tex]
Step-by-step explanation:
we know that
The length of the side, s, of a cube with a surface area, SA is equal to the formula
[tex]s=\sqrt{\frac{SA}{6}}[/tex]
Step 1
Find the length of the side, s, of a cube with a surface area of [tex]180\ m^{2}[/tex]
we have
[tex]SA=180\ m^{2}[/tex]
substitute in the formula
[tex]s=\sqrt{\frac{180}{6}}[/tex]
[tex]s=\sqrt{30}\ m[/tex]
Step 2
Find the length of the side, s, of a cube with a surface area of [tex]120\ m^{2}[/tex]
we have
[tex]SA=120\ m^{2}[/tex]
substitute in the formula
[tex]s=\sqrt{\frac{120}{6}}[/tex]
[tex]s=\sqrt{20}=2\sqrt{5}\ m[/tex]
Step 3
Find the difference of the length sides
[tex](\sqrt{30}-2\sqrt{5})\ m[/tex]