The maximum length of a pencil that can be kept in a rectangular box o

1.	The maximum length of a pencil that can be kept in a rectangular box of dimensions 12 cm x 9 cm x 8 cm, is A. 13 cm B. 17 cm C. 18 cm D. 19 cm
Answer» We know that, Length of the diagonal of the cuboid = \(\sqrt{1^2+b^2+h^2}\) = \(\sqrt{12^2+9^2+8^2}\) = \(\sqrt{144+81+64}\) = \(\sqrt{289}\) = 17 cm Therefore, option B is correct

The maximum length of a pencil that can be kept in a rectangular box of dimensions 12 cm x 9 cm x 8 cm, is A. 13 cm B. 17 cm C. 18 cm D. 19 cm

Answer»

We know that,

Length of the diagonal of the cuboid = \(\sqrt{1^2+b^2+h^2}\)

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

= \(\sqrt{144+81+64}\)

= \(\sqrt{289}\)

= 17 cm

Therefore, option B is correct