Final answer:
To fill the cube-shaped planter box, you will need 2744 cubic inches of soil.
Step-by-step explanation:
To calculate the amount of soil needed to fill the cube-shaped planter box, we need to find the volume of the box. Since all sides of the box measure 14 inches, the length, width, and height of the box are all 14 inches.
The formula to find the volume of a cube is V = s^3, where s is the length of a side. In this case, s = 14 inches, so the volume of the planter is V = 14^3 = 2744 cubic inches.
Therefore, you will need 2744 cubic inches of soil to fill the planter box.