The length of each edge of the cube was increased by 40%. By what percentage did the volume of the cube increase?

Let’s say the length of the edge of the cube is initially x. Then the volume of the cube is x ^ 3.

After enlarging each edge by 40%, the length of the edges became 1.4x. The volume of the new cube is now (1.4x) ^ 3 = 2.744x.

To find out by what percentage the volume of the cube has increased, you need to subtract 1 from 2.744, you get 1.744. We multiply this value by 100%, we get 174.4%.

Answer: by 174.4%.