Answer:
0.84 m
The side of the cube with the surface area of 240 square meters is <u>0.84 meters</u> longer than the cube with the surface area of 180 square meters.
Step-by-step explanation:
The correct question must be:
The formula
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:
![s=\sqrt{\frac{SA}{6}}](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cfrac%7BSA%7D%7B6%7D%7D)
where
is the side of the cube and
is the surface area of the cube.
For a cube with surface area of 240 square meters, the side can be calculated as:
![s=\sqrt{\frac{240}{6}}](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cfrac%7B240%7D%7B6%7D%7D)
![s=6.32\ m](https://tex.z-dn.net/?f=s%3D6.32%5C%20m)
For a cube with surface area of 180 square meters, the side can be calculated as:
![s=\sqrt{\frac{180}{6}}](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cfrac%7B180%7D%7B6%7D%7D)
![s=5.48\ m](https://tex.z-dn.net/?f=s%3D5.48%5C%20m)
<em>The difference in the sides of the cubes is</em> = ![6.32\ m-5.48\ m=0.84\ m](https://tex.z-dn.net/?f=6.32%5C%20m-5.48%5C%20m%3D0.84%5C%20m)
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.