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Answer:

24.7 inches

Step-by-step explanation:

Length = 18 inches

Width = 12 inches

Height = 12 inches

Length of the longest diagonal,d = length^2 + width^2 + height^2

d^2 = 18^2 + 12^2 + 12^2

d^2 = 324 + 144 + 144

d^2 = 612

d = √612

= 24.7 of inches

Length of the longest diagonal in the box = 24.7 inches

Final answer:

The length of the longest diagonal in a box with dimensions 12 inches by 12 inches by 18 inches, calculated using the three-dimensional Pythagorean theorem, is approximately 24.7 inches.

Explanation:

The longest diagonal of a rectangular box can be found using the Pythagorean theorem, but in three dimensions. This length is also known as the space diagonal of the box. Specifically, if you have a box with length (l), width (w) and height (h), the equation for the space diagonal (d) is d = √(l2 + w2 + h2).

Substituting the given dimensions into the equation: d = √[(12)2 + (12)2 + (18)2] = √(144 +144 + 324) = √(612) which is approximately 24.7 inches long.

Learn more about Space Diagonal Length here:

brainly.com/question/31304395

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Answer:

4/5 for tails

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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