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A rectangular prism is shown with the dimensions.



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What is the distance between A and D? Enter the answer in the box. Round the answer to the nearest hundredth of an inch.

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inches

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To determine the distance between points A and D in a rectangular prism, we need to know the coordinates or the specific dimensions of the prism. In a standard rectangular prism, we can represent points as follows, assuming the points are at the corners of the prism:

  • Let point A be at (0, 0, 0) (for example).
  • Let point D be at (length, width, height) (for example, if D is diagonally opposite A in the prism).

The distance \(d\) between two points in 3D space can be calculated using the distance formula:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2} \]

In order to provide a specific answer rounded to the nearest hundredth of an inch, please provide the dimensions of the rectangular prism or the coordinates of points A and D.

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