A large solid below is made from small cubes. Each has a side length of 1/3 m

The volume of the solid can be calculated by finding the number of small cubes that make up the solid and then multiplying by the volume of each small cube.

Let the dimensions of the solid be 3m x 2m x 4m. Since each small cube has a side length of 1/3m, there are 3 x 2 x 4 = 24 small cubes in each layer of the solid.

Therefore, the total number of small cubes in the solid is 24 x 24 = 576.

The volume of each small cube is (1/3)^3 = 1/27 cubic meters.

Thus, the total volume of the solid is 576 x 1/27 = 576/27 = 21.33 cubic meters.