To convert cubic inches to cubic feet, which conversion do you use?

To convert cubic inches to cubic feet accurately, it's essential to understand the relationship between these two units of volume. A cubic foot is defined as the volume of a cube whose sides each measure one foot. Since there are 12 inches in one foot, to find the number of cubic inches in a cubic foot, you must consider the volume of that cube, which includes multiplying the length, width, and height.

Therefore, when you calculate the volume in cubic inches, it is:

1 cubic foot = 12 inches × 12 inches × 12 inches = 12^3 cubic inches.

This calculation results in 1 cubic foot being equal to 1,728 cubic inches. This is why using the conversion factor of 12^3 is correct for changing cubic inches to cubic feet.

It's important to note that other options suggest incorrect cube sizes that do not correspond to the dimensions of a cubic foot. They would all yield larger values in cubic inches, leading to inaccurate conversions.