Question : What will be the length of the longest diagonal of the cuboid having a length of 13 cm, width of 11 cm, and height of 20 cm?
Option 1: 23.45 cm
Option 2: 26.27 cm
Option 3: 34.65 cm
Option 4: 22.65 cm
Correct Answer: 26.27 cm
Solution :
Given: Length($l$) = 13 cm, width($b$) = 11 cm, and height($h$) = 20 cm
Length of the longest diagonal of the cuboid
$=\sqrt{13^2 + 11^2 + 20^2}$
$= \sqrt{169 + 121 + 400}$
$= \sqrt{690}$
$= 26.27$ cm
Hence, the correct answer is 26.27 cm.
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