The maximum length of a pencil that can be kept in a rectangular box of dimensions `8 cm xx 6 cm xx 2 cm`, is

Options

A. `2 sqrt(13) cm `
B. ` 2 sqrt(14) cm `
C. ` 2 sqrt(26)` cm
D. `10 sqrt(2) cm `

Answer

C

Explanation

Lenght of largest pencil that can be dept in a box
= diagonal of box `= sqrt( l^(2) + b^(2) + h^(2))`
where, 1 = 8 cm , b = 6 cm h = 2 cm
` = sqrt( 64 + 36 + 4)`
` = sqrt( 104)`
` = 2 sqrt( 26) cm `