Question

Jacob is making a wooden cube to hold his little sister jewelry.the volume of the cube is 343in3. what is the length of one side of the jewelry box?

Answer 1

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

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,
`k^(3)   = 343\\\implies  k = \sqrt[3]{343}`

or, k = 7 inches

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