Calculate the volume of a cube if the sum of the lengths of all its edges is 72 m.

Let’s write down the formula for finding the volume of a cube.

V = a³, where a is the length of one edge of the cube, V is the volume.

Now let’s find the length of the edge of the cube. Since a cube has twelve edges, we divide the total length of the cube’s edges by twelve. So we get the length of one edge of the cube.

72 m: 12 = 6 m – the length of one edge of the cube.

Now let’s find the volume of the cube.

V = (6 m) ³ = 6 m × 6 m × 6 m = 36m² × 6m = 216 m³. is the volume of the cube.

Answer: V = 216 m³.