Mathematics
Mathematics
Problem
4. An edge of a variable cube is increasing at the rate of . How fast is the volume of the cube increasing when the edge is 10 cm long?Intuitive explanation
This is a related rates problem where you connect how one quantity changes to how another changes. The key insight is to write the volume formula , then differentiate both sides with respect to time to relate (what you want) to (what you're given). Once you have that relationship, substitute the specific edge length to find the answer.
Intuitive explanation
This is a related rates problem where you connect how one quantity changes to how another changes. The key insight is to write the volume formula , then differentiate both sides with respect to time to relate (what you want) to (what you're given). Once you have that relationship, substitute the specific edge length to find the answer.