What will be the maximum length of a bamboo which is kept in a room of 12m length, 9m breadth and 8m height?

Question

What will be the maximum length of a bamboo which is kept in a room of $12 \mathrm{~m}$ length, $9 \mathrm{~m}$ breadth and 8 $\mathrm{m}$ height?

(A) $9 \mathrm{~m}$

(B) $29 \mathrm{~m}$

(C) $19 \mathrm{~m}$

(D) $17 \mathrm{~m}$

Answer 1

Required length

$=\sqrt{(l)^{2}+(b)^{2}+(h)^{2}}$

$=\sqrt{(12)^{2}+(9)^{2}+(8)^{2}}$

$=\sqrt{144+81+64}$

$=\sqrt{289}=17 \mathrm{~m} ; \text { Ans. }$

$\therefore$ Correct option is($D$)