The size of the cardboard should be 30.5 in approximately from each side.
Explanation:
Given:
volume of the box = 12943 in³
Box cover size = 7 in
Size of the cardboard needed = ?
Since the base of the box is in the shape of a square, the box would be a cube.
So,
volume of box = (side)³
12943 in³ = (a)³
[tex]a = \sqrt[3]{12943} \\\\a = 23.48in[/tex]
7 inch from all the sides of the cardboard will be cut and folded.
Therefore, size of the cardboard should be 23.48 in + 7 in
size = 30.48 in.
