Answer:
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, [tex]k^{3} = 343\\\implies k = \sqrt[3]{343}[/tex]
or, k = 7 inches
Hence, the length of one side of the jewelry box is 7 inches.
