Final answer:
When the edges of a cube expand, the surface area and volume of the cube increase. This can be considered as a form of cubic expansion.
Step-by-step explanation:
To determine how the edges of a cube expanding at a rate of 8 centimeters affects its characteristics, we need to analyze the different possibilities:
A) Surface area increase: When the edges of a cube expand, the lengths of all sides increase proportionally. As a result, the surface area of the cube increases. The surface area of a cube is given by the formula 6s^2, where s is the length of each side.
B) Volume expansion: Since the length, width, and height of the cube all increase when the edges expand, the cube's volume also increases. The volume of a cube is given by the formula s^3, where s is the length of each side.
C) Linear growth: Linear growth refers to the increase in length of one dimension. Since all three dimensions of a cube increase when the edges expand, it does not exhibit linear growth.
D) Cubic expansion: When the edges of a cube expand, all three dimensions increase. This can be seen as a form of cubic expansion.