High School

1.0 m is equivalent to 3.281 ft. A cube with an edge of 1.5 ft has a volume of:

Select one:
a. [tex]9.6 \times 10^{2} \, \text{m}^3[/tex]
b. [tex]1.2 \times 10^{2} \, \text{m}^3[/tex]
c. [tex]10.5 \, \text{m}^3[/tex]
d. [tex]9.5 \times 10^{3} \, \text{m}^3[/tex]

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.