Answer:
6 centimeter is the length of one edge of the boxStep-by-step explanation:
Given : The volume of a box of earrings is 216 cubic centimeters.
To find : What is the length of one edge of the box.
Solution : We have given
Volume of a cubic box = 216 cubic centimeter .
Volume of cube = (side)³ .
(side)³ = 216 cubic centimeter .
On taking cube root both sides.
side =
![\sqrt[3]{216}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/arim9re7qvgtgppceoud2udp6a91v16476.png)
.
Side =
![\sqrt[3]{6*6*6}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mgb02wzp5uq25j6s5get2qo30p880tj54y.png)
.
Side= 6 centimeter .
Therefore, 6 centimeter is the length of one edge of the box.