From sheets of cardboard with a total area of 294 cm2, a cube was folded. Find the volume of the resulting figure.

1. Let’s denote the side of the cube by X.

2. It is known that a cube has six sides, and each side is a square.

The area of a square is equal to the square of its side.

This means that the area of the entire surface of the cube is 6 * X ^ 2.

According to the condition of the problem, the cube was folded from a sheet with an area of 294 cm ^ 2,

means 6 * X ^ 2 = 294 cm ^ 2;

X ^ 2 = 49 cm ^ 2;

X = 49 ^ 1/2 = 7 cm.

3. Find the volume of the cube, knowing that the volume is equal to X * X * X.

Substitute the numerical value of X and get

7 cm * 7 cm * 7 cm = 343 cm ^ 3.

Answer: The volume of a cube is 343 cubic centimeters.