Final answer:
The length of an edge of a bouillon cube with a volume of 1/27 cubic inch is 1/3 inch, which is found by taking the cube root of the volume.
Step-by-step explanation:
The student has asked how long an edge of one of the bouillon cubes is if the volume of each cube is 1/27 cubic inch. To solve this problem, we need to find the cube root of the volume since a bouillon cube has equal lengths on all sides.
Volume of a cube = (edge length) 3, so edge length = 3√ Volume. Here, the volume is 1/27 cubic inches, therefore:
Edge length = 3√(1/27)
= 1/3 inch
So, the length of each edge of the bouillon cube is 1/3 inch.