Matteo is making a wooden cube to hold his little sister's jewelry. The volume of the cube is 343 in.. What is the length of one side of the jewelry box?

The length of one side of the jewelry box  is 7 inches.

Step-by-step explanation:

The volume of he cube made = 343 cubic  inches

Let the side of the jewelry box made  =   k inches

Now, VOLUME OF A CUBE = SIDE x  SIDE x SIDE

⇒Here, the volume of the jewelry box in the shape of a cube  

= (k inches)  x (k inches)  x (k inches)

or, 343 cubic  inches  =  (k inches)  x (k inches)  x (k inches)

or,

or, k = 7 inches

Hence,  the length of one side of the jewelry box  is 7 inches.