Tick (✓) the correct answer:
The maximum length of a pencil that can be kept in a rectangular box of dimensions 12 cm × 9 cm × 8 cm, is
(a) 13 cm
(b) 17 cm
(c) 18 cm
(d) 19 cm

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Solution

(b) 17

Length of the diagonal of a cuboid $= \sqrt{l^{2} + b^{2} + h^{2}}$

∴ $\sqrt{l^{2} + b^{2} + h^{2}} = \sqrt{12^{2} + 9^{2} + 8^{2}} = \sqrt{144 + 81 + 64} = \sqrt{289} = 17 c m$

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Tick (✓) the correct answer: The maximum length of a pencil that can be kept in a rectangular box of dimensions 12 cm × 9 cm × 8 cm, is (a) 13 cm (b) 17 cm (c) 18 cm (d) 19 cm

(b) 17 Length of the diagonal of a cuboid =l2+b2+h2 ∴ l2+b2+h2=122+92+82=144+81+64=289=17 cm

Tick (✓) the correct answer:
The maximum length of a pencil that can be kept in a rectangular box of dimensions 12 cm × 9 cm × 8 cm, is
(a) 13 cm
(b) 17 cm
(c) 18 cm
(d) 19 cm

(b) 17

Length of the diagonal of a cuboid $= \sqrt{l^{2} + b^{2} + h^{2}}$

∴ $\sqrt{l^{2} + b^{2} + h^{2}} = \sqrt{12^{2} + 9^{2} + 8^{2}} = \sqrt{144 + 81 + 64} = \sqrt{289} = 17 c m$