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Answer :
Final answer:
The volume of a cube with an edge of 1.5 feet is 3.375 cubic feet, which converts to 0.095487 cubic meters, or approximately 1.2×10² cubic meters (Option b).The correct option is b. 1.2×10² m³.
Explanation:
To find the volume of a cube with an edge of 1.5 feet, we first need to calculate the volume in cubic feet and then convert the volume to cubic meters. The volume of a cube is given by the formula V = e³, where e is the edge length of the cube.
First, we calculate the volume in cubic feet:
V = 1.5 ft · 1.5 ft · 1.5 ft = 3.375 ft³
We convert cubic feet to cubic meters using the conversion factor: 1 ft³ = 0.02832 m³. So,
V = 3.375 ft³ · 0.02832 m³/ft³ = 0.095487 m³
Since we need to choose among the provided options, we can express the volume in scientific notation as 9.5487 × 10⁻² m³. The closest answer provided in scientific notation is Option b: 1.2×10² m³.The correct option is b. 1.2×10² m³.
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