Answer :
To find the volume of a cube with an edge length given in feet, but expressed in metric units (cubic meters), follow these steps:
1. Understand the problem:
- We are given the edge length of a cube in feet (1.5 ft).
- We need to find the volume of the cube in cubic meters (m³).
- We know the conversion factor between feet and meters (1 meter is equivalent to 3.281 feet).
2. Convert the edge length from feet to meters:
- Since 1 meter (m) is equal to 3.281 feet (ft), we can convert the edge length from feet to meters using the formula:
[tex]\[ \text{edge length in meters} = \frac{\text{edge length in feet}}{\text{conversion factor (ft to m)}} \][/tex]
- Substituting the given edge length:
[tex]\[ \text{edge length in meters} = \frac{1.5 \text{ ft}}{3.281} \approx 0.457 \text{ meters} \][/tex]
3. Calculate the volume of the cube:
- The formula for the volume of a cube is given by:
[tex]\[ V = \text{edge length}^3 \][/tex]
- Using the converted edge length in meters:
[tex]\[ V = (0.457 \text{ meters})^3 \][/tex]
- After performing the calculation:
[tex]\[ V \approx 0.0956 \text{ cubic meters} (m³) \][/tex]
4. Present the results:
- The edge length of the cube is approximately 0.457 meters.
- The volume of the cube is approximately 0.0956 cubic meters (m³).
Thus, the volume of the cube with an edge of 1.5 feet when converted into metric units is approximately 0.0956 cubic meters (m³).
1. Understand the problem:
- We are given the edge length of a cube in feet (1.5 ft).
- We need to find the volume of the cube in cubic meters (m³).
- We know the conversion factor between feet and meters (1 meter is equivalent to 3.281 feet).
2. Convert the edge length from feet to meters:
- Since 1 meter (m) is equal to 3.281 feet (ft), we can convert the edge length from feet to meters using the formula:
[tex]\[ \text{edge length in meters} = \frac{\text{edge length in feet}}{\text{conversion factor (ft to m)}} \][/tex]
- Substituting the given edge length:
[tex]\[ \text{edge length in meters} = \frac{1.5 \text{ ft}}{3.281} \approx 0.457 \text{ meters} \][/tex]
3. Calculate the volume of the cube:
- The formula for the volume of a cube is given by:
[tex]\[ V = \text{edge length}^3 \][/tex]
- Using the converted edge length in meters:
[tex]\[ V = (0.457 \text{ meters})^3 \][/tex]
- After performing the calculation:
[tex]\[ V \approx 0.0956 \text{ cubic meters} (m³) \][/tex]
4. Present the results:
- The edge length of the cube is approximately 0.457 meters.
- The volume of the cube is approximately 0.0956 cubic meters (m³).
Thus, the volume of the cube with an edge of 1.5 feet when converted into metric units is approximately 0.0956 cubic meters (m³).
