All edges of a cube are expanding at a rate of 3 centimeters per second. How fast is the cube’s surface area changing when each edge is 10 centimeters?

**Answer:**

Surface area s= 6a^2 here a=edge

ds/dt = d/dt ×(6a^2)

= 6×2×a×(da/dt)

= 12a(da/dt)

= 12×10×3

= 360

Fast with cubes surface area changing = 360cm/sec