Answer :
Final answer:
The volume of a cube with an edge of 1.5 feet is approximately 9.6 x 10⁻² cubic meters, after converting from cubic feet to cubic meters using the appropriate conversion factor and the formula for the volume of a cube.
Explanation:
The subject of this question is the conversion of units and calculation of the volume of a cube. In this question, the student is asked to find the volume of a cube with an edge of 1.5 ft. To find this, we first use the formula for the volume of a cube, which is V = a³ where a is the side length. Here, a equals 1.5 ft. So, the volume in cubic feet would be V = (1.5 ft)³ = 3.375 cubic ft.
Then, to convert this volume from cubic feet to cubic meters, we use the conversion factor of 1 ft = 0.3048 m. Since volume is a cubic unit, we cube this conversion factor, resulting in 0.0283168 m³/ft³. Multiplying the volume in cubic feet by this conversion factor gives the volume in cubic meters: V = 3.375 ft³ * 0.0283168 m³/ft³ = 0.09545 m³. Therefore, the correct option is Option 3: 9.6 x 10⁻² m³ (rounded to appropriate significant figures).
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