What is the length (in cm) of the longest rod that can be fitted in a box of dimensions 28 cm × 4 cm × 10 cm ?
Answer & explanation
Correct answer: option 3
We know that,
Diagonal of cuboid = \(\sqrt {(l^2 + b^2 + h^2 ) }\)
Given,
Dimensions of box = 28 × 4 × 10
Diagonal of given cuboid box = \(\sqrt {(28^2 + 4^2 + 10^2 ) }\)= \(\sqrt {(784 + 16 + 100 ) }\)
= \(\sqrt {(900}\)) = 30cm