# The volume of the cube is 343. One edge was increased by 2 m and the other was reduced

The volume of the cube is 343. One edge was increased by 2 m and the other was reduced by 2 m. Has the volume changed? If so, how much?

We have a cube. The volume of the cube is 343 m³.

One edge of the cube was increased by 2 meters, the other was reduced by 2 meters.

After changing the edges, we got not a cube, but a rectangular parallelepiped. Find the edge of the old cube.

V = a ^ 3;

a = V ^ (1/3);

a = 343 ^ (1/3);

a = 7 m.

One edge of the cube was increased by 2, it became equal to 7 + 2 = 9 m.

The other edge was reduced by 2, it became equal to 7 – 2 = 5 m.

The third remained unchanged.

Find the volume of the figure:

V2 = b * c * d;

V2 = 9 * 7 * 5;

V2 = 315 m³.

As you can see, the volume of the figure has become smaller by 28 m³.

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