CONVERT THE FOLLOWING – Large to Small Unit. Loose Me Down! 1. 450 m³ = _ cm³ 2. 9.5 m³ = cm³ 3. 80 liter = cm³ 4. 5.88 m³ = cm³ 5. 0.805 liter = ___ cm³
The Correct Answer and Explanation is:
Here are the correct conversions from larger to smaller units:
- 450 m³ = 450,000,000 cm³
- 9.5 m³ = 9,500,000 cm³
- 80 liter = 80,000 cm³
- 5.88 m³ = 5,880,000 cm³
- 0.805 liter = 805 cm³
Now let’s break down how these conversions work.
To convert cubic meters (m³) to cubic centimeters (cm³), we use the metric relationship between meters and centimeters. Since 1 meter equals 100 centimeters, 1 cubic meter is a cube with sides of 100 cm each. That gives:
1 m3=100 cm×100 cm×100 cm=1,000,000 cm31\ \text{m}^3 = 100\ \text{cm} \times 100\ \text{cm} \times 100\ \text{cm} = 1,000,000\ \text{cm}^3
So we multiply any value in cubic meters by 1,000,000 to get its equivalent in cubic centimeters.
Similarly, to convert liters to cubic centimeters, we use the fact that:
1 liter=1,000 cm31\ \text{liter} = 1,000\ \text{cm}^3
This is based on the definition of a liter as the volume of a cube that is 10 cm on each side.
This means:
- To convert 450 m³: 450×1,000,000=450,000,000 cm3450 \times 1,000,000 = 450,000,000\ \text{cm}^3
- To convert 9.5 m³: 9.5×1,000,000=9,500,000 cm39.5 \times 1,000,000 = 9,500,000\ \text{cm}^3
- To convert 80 liters: 80×1,000=80,000 cm380 \times 1,000 = 80,000\ \text{cm}^3
- To convert 5.88 m³: 5.88×1,000,000=5,880,000 cm35.88 \times 1,000,000 = 5,880,000\ \text{cm}^3
- To convert 0.805 liters: 0.805×1,000=805 cm30.805 \times 1,000 = 805\ \text{cm}^3
Understanding how units scale within the metric system allows for fast and accurate conversions between different magnitudes. It is a powerful tool in scientific and practical contexts alike.
