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Grade 8 math · M.18 · Pythagorean theorem

Diagonal of a box

The diagonal of a box: square the three edges, add them, and take the square root.

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  1. A box is 1 cm long, 2 cm wide and 2 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?

    Answer: 3

  2. A box is 7 cm long, 6 cm wide and 6 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?

    Answer: 11

  3. A box is 12 cm long, 24 cm wide and 24 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?

    Answer: 36

Tip: The diagonal of a box: square the three edges, add them, and take the square root.

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