Answer:
The length of the sides is 7 In.
Explanation:
Given:
A cube has a surface area of 294 sq. In.
Now, to find the sides.
Let the side be
![a](https://img.qammunity.org/2020/formulas/mathematics/high-school/p8wjdflgvtvya4hppwbx9xwxr8jb2zdxwx.png)
Putting the formula of area to get the length of side:
![Area = 6(side)^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qhh6xojlluwv9qpy297ufo02s16k65ozsf.png)
![294=6a^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/icthah07lucha0njcaqxef93p2cgcznz9w.png)
Dividing both sides by 6 we get:
![49=a^2](https://img.qammunity.org/2020/formulas/mathematics/high-school/gx2fj4bvbqupv7mgzkr0xee2vyj5mjtq3d.png)
Using square root on both sides we get:
![7=a](https://img.qammunity.org/2020/formulas/mathematics/high-school/apqhy2yn8tfhqyuwx6akuii5o9i1ipvgja.png)
Side = 7 In.
Therefore, the length of the sides is 7 In.