What is the equivalent of one cubic foot in terms of inches?

Prepare for the NWEA Math 5th Grade Test with engaging flashcards and multiple-choice questions, complete with hints and explanations. Get exam-ready now!

To determine how many cubic inches are in one cubic foot, it's essential to understand the relationship between feet and inches.

There are 12 inches in a foot. To find the volume in cubic inches, you need to calculate the volume of a cube that is 1 foot on each side. A cubic foot is thus defined as follows:

1 cubic foot = (1 foot) x (1 foot) x (1 foot)

When you convert each foot to inches, the equation becomes:

1 cubic foot = (12 inches) x (12 inches) x (12 inches) = 12 x 12 x 12 cubic inches

Calculating that gives you:

12 x 12 = 144

Then,

144 x 12 = 1728

So, one cubic foot is equal to 1728 cubic inches. This relationship confirms that the equivalent of one cubic foot is indeed 1728 cubic inches, making it the correct answer.

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