Question

What is the length of the diagonal AG in the cuboid shown?

• A. $\sqrt{1}04$
• B. $\sqrt{1}4$
• C. $\sqrt{2}8$
• D. $2\sqrt{1}25$

Answer 1

The correct option is A

$\sqrt{1}04$

Using pythagoras theorem we can find the diagonal $EG=\sqrt{8^2+6^2}=\sqrt{64+36}=10cm$
Now apply pythagoras theorem to the right angled triangle AEG to find the length of the diagonal AG,
$AG=\sqrt{2^2+{10}^2}=\sqrt{104}cm$