Question

Find the maximum length of a rod that can be kept in a cuboidal box offside 30cm, 24cm and 18 cm.

Answer 1

30√2 cm

Explanation:

Maximum length of the rod = Length of the diagonal of the cuboid

Length of diagonal of cuboid =
`√(l^2+w^2 + h^)`

where l = length, w =width and h = height

For this particular cuboid,

Diagonal length =
`√(30^2+24^2 + 18^2)`

`√(800 + 576 + 324) \\\\\\= √(1500)\\\\= 30√(2) \text{ cm}`