The surface area of music box is 384 square centimeter
Solution:
Given that,
Volume of cubed shaped music box = 512 cubic centimeter
To find: Surface area of music box
The volume of cube is given as:

Where, "a" is the length of side
Therefore,

Taking cube root on both sides,
![a = \sqrt[3]{512}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/8edugho6z5yilzkk8rnzhhvj2l5dgyzltj.png)
![a = \sqrt[3]{8 * 8 * 8}\\\\ a = \sqrt[3]{8^3}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/siyjppmaf1qy475stnb5jfjhonq16wfz50.png)


Thus length of side of cube is 8 cm
Find surface area of cubed shaped music box
The surface area of cube is given as:

Substitute a = 8 in above formula

Thus surface area of music box is 384 square centimeter