Final answer:
To find the rate of change of volume of a cube whose edges are increasing at a certain rate, differentiate the volume formula with respect to time.
Step-by-step explanation:
The volume of a cube is calculated by cubing the length of its edge. So, if the edges of a cube are increasing at a rate of [rate], we can differentiate the volume formula with respect to time to find the rate of change of volume. Let's say the length of each edge is [length] cm. The volume of the cube is given by V = L³, where L is the length of each edge. Therefore, the rate of change of volume can be found by differentiating V with respect to time.