Calculate the volume of the stepped prism.

The dimensions of the stepped prism are 6 dm, 7 dm, and 5 dm. The inner cut-out has dimensions 3 dm, 4 dm, and 2 dm. The volume of the outer prism is $$6 \times 7 \times 5 = 210$$ dm$$^3$$. The volume of the cut-out is $$3 \times 4 \times 2 = 24$$ dm$$^3$$. The volume of the material is $$210 - 24 = 186$$ dm$$^3$$.