Answer:
[tex] s = \sqrt{30} - 2\sqrt{5} m [/tex]
Step-by-step explanation:
Given:
Formula for side length of cube, [tex] s = \sqrt{\frac{SA}{6} [/tex]
Where, S.A = surface area of a cube, and s = side length.
Required:
Difference in side length between a cube with S.A of 180 m² and a cube with S.A of 120 m²
Solution:
Difference = (side length of cube with 180 m² S.A) - (side length of cube with 120 m² S.A)
[tex]s = (\sqrt{\frac{180}{6}}) - (\sqrt{\frac{120}{6}})[/tex]
[tex] s = (\sqrt{30}) - (\sqrt{20}) [/tex]
[tex] s = \sqrt{30} - \sqrt{4*5} [/tex]
[tex] s = \sqrt{30} - 2\sqrt{5} m [/tex]
