Question : The diagonal of a cuboid of length 5 cm, width 4 cm, and height 3 cm is:
Option 1: $5\sqrt2$ cm
Option 2: $2\sqrt5$ cm
Option 3: $12$ cm
Option 4: $10$ cm
Correct Answer: $5\sqrt2$ cm
Solution :
Given: Length ($l$) = 5 cm
Width ($b$) = 4 cm
Height ($h$) = 3 cm
Diagonal of a cuboid = $\sqrt{l^2+b^2+h^2}$
$=\sqrt{5^2+4^2+3^2}$
$=\sqrt{25+16+9}$
$=\sqrt{50}$
$=5\sqrt2$ cm
Hence, the correct answer is $5\sqrt2$ cm.
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