1. **Problem statement:** Convert the given volume measurements to the indicated units. 2. **Important formulas and rules:** - $1\,m^3 = 1,000,000\,cm^3$ - $1\,mL = 1\,cm^3$ - $1\,dam^3 = 1,000\,m^3$ - $1\,dm^3 = 1\,L$ 3. **Conversions:** I) Convert $1.25\,m^3$ to $cm^3$: $$1.25\,m^3 \times \frac{1,000,000\,cm^3}{1\,m^3} = 1,250,000\,cm^3$$ Given answer $125\,cm^3$ is incorrect. II) Convert $228,000\,cm^3$ to $m^3$: $$228,000\,cm^3 \times \frac{1\,m^3}{1,000,000\,cm^3} = \frac{228,000}{1,000,000} = 0.228\,m^3$$ Given answer $2280\,m^3$ is incorrect. III) Convert $125\,mL$ to $cm^3$: Since $1\,mL = 1\,cm^3$, the answer is: $$125\,mL = 125\,cm^3$$ Correct. IV) Convert $456,000\,cm^3$ to $dam^3$: $$456,000\,cm^3 \times \frac{1\,m^3}{1,000,000\,cm^3} = 0.456\,m^3$$ $$0.456\,m^3 \times \frac{1\,dam^3}{1,000\,m^3} = 0.000456\,dam^3$$ Given answer $456\,dam^3$ is incorrect. V) Convert $2600\,dm^3$ to $L$: Since $1\,dm^3 = 1\,L$: $$2600\,dm^3 = 2600\,L$$ Given answer $2.6\,L$ is incorrect. VI) Convert $234\,cm^3$ to $L$: $$234\,cm^3 \times \frac{1\,m^3}{1,000,000\,cm^3} = 0.000234\,m^3$$ Since $1\,m^3 = 1000\,L$: $$0.000234\,m^3 \times 1000 = 0.234\,L$$ Given answer $2.34 \times 10^{-4}\,L$ is incorrect; correct is $0.234\,L$. 4. **Summary:** - I) $1.25\,m^3 = 1,250,000\,cm^3$ - II) $228,000\,cm^3 = 0.228\,m^3$ - III) $125\,mL = 125\,cm^3$ - IV) $456,000\,cm^3 = 0.000456\,dam^3$ - V) $2600\,dm^3 = 2600\,L$ - VI) $234\,cm^3 = 0.234\,L$ All conversions use the base unit relationships and careful unit factor multiplication/division.