Answer true or false. A cube is expanding as temperature increases. If the length of the cube is changing at a rate of dx = 0.6 mm when x is 3.5 m, the volume is experiencing a corresponding change of 22,050,000 mm³.

Question

Quizplus · Accepted Answer

The volume of a cube is given by V = x^3, where x is the length of one side. If the length of the cube is changing at a rate of dx = 0.6 mm when x is 3.5 m, then the volume is changing at a rate of dV/dt = 3x^2 dx/dt = 3(3.5 m)^2 (0.6 mm/s) = 22,050,000 mm^3/s.

Answer True or False