How many cubic inches of water are contained in one cubic foot of water?

One cubic foot of water can be calculated by understanding the relationship between feet and inches. Specifically, there are 12 inches in one foot. Therefore, to find the volume in cubic inches of a cubic foot, you need to convert each dimension from feet to inches.

When calculating volume, you multiply the length, width, and height (or the dimensions) together. Since a cubic foot is 1 foot by 1 foot by 1 foot, the conversion works like this:

1 foot = 12 inches

Consequently, a cubic foot can be expressed as:

1 foot × 1 foot × 1 foot = (12 inches) × (12 inches) × (12 inches)

When you perform the multiplication:

12 inches × 12 inches = 144 square inches (which is the area of one face of the cube).

Then, when you multiply this area by the height (which is again 12 inches), you get:

144 square inches × 12 inches = 1728 cubic inches.

This demonstrates that one cubic foot of water contains 1728 cubic inches, making it the correct answer.