Final answer:
To find the volume of a cube with an edge of 3.60 inches, convert the inches to centimeters using the conversion factor. Then, calculate the volume of the cube by cubing the length of one side. Finally, convert the volume to SI units by multiplying it by the conversion factor.
Step-by-step explanation:
To find the volume of a cube with an edge of 3.60 inches, we first need to convert the inches to centimeters. Given that 1 inch is equal to 2.54 cm, we can multiply the edge length of the cube by the conversion factor:
3.60 inches * 2.54 cm/inch = 9.144 cm
The volume of a cube is calculated by cubing the length of one side. Therefore, the volume of the cube is:
V = (9.144 cm)³ = 748.57 cm³
To express the volume in SI units, we use the fact that 1 m = 100 cm. So, 1 m³ = (100 cm)³ = 1,000,000 cm³. Therefore, the volume of the cube in SI units is:
748.57 cm³ * (1 m³ / 1,000,000 cm³) = 0.00074857 m³