Question

The length of the longest rod that can be placed inside a cuboid of dimensions 6 cm x 8 cm x 2√11 cm is:

• A. 10 cm
• B. 12 cm
• C. 11 cm
• D. 13 cm

Answer 1

The correct option is B 12 cm

The length of the longest rod that can be placed inside a cuboid of dimensions $units\times bunits\times hunitsis\sqrt{l^2+b^2+h^2}$ units.

Thus, for the given cuboid, $\sqrt{l^2+b^2+h^2}=\sqrt{6^2+8^2+(2\sqrt{11}{)}^2}$
$=\sqrt{144}$
$\sqrt{12}$

Hence, the length of the longest rod that can be placed inside a cuboid of dimensions
$6cm\times 8cm\times 2\sqrt{11}cmis12cm$.