Respuesta :
Answer:
0.84 m
The side of the cube with the surface area of 240 square meters is 0.84 meters longer than the cube with the surface area of 180 square meters.
Step-by-step explanation:
The correct question must be:
The formula [tex]s=\sqrt{\frac{SA}{6}}[/tex] gives the length of the side, s, of a cube with the surface area, SA. How much longer is the side of the cube with a surface area of 240 square meters than a cube with the surface area of 180 square meters ?
Given formula to calculate side of a cube:
[tex]s=\sqrt{\frac{SA}{6}}[/tex]
where [tex]s[/tex]is the side of the cube and [tex]SA[/tex] is the surface area of the cube.
For a cube with surface area of 240 square meters, the side can be calculated as:
[tex]s=\sqrt{\frac{240}{6}}[/tex]
[tex]s=6.32\ m[/tex]
For a cube with surface area of 180 square meters, the side can be calculated as:
[tex]s=\sqrt{\frac{180}{6}}[/tex]
[tex]s=5.48\ m[/tex]
The difference in the sides of the cubes is = [tex]6.32\ m-5.48\ m=0.84\ m[/tex]
Thus, the side of the cube with the surface area of 240 square meters is 0.84 meters longer than the cube with the surface area of 180 square meters.
