A rectangular piece of cardboard 18 cm × 24 cm is made into an open box by cutting a square of 5 cm side from… · ABC26GN4823

Subject: General Aptitude · Chapter: Volume and Surface Area

A rectangular piece of cardboard 18 cm × 24 cm is made into an open box by cutting a square of 5 cm side from each corner and building up the side. Find the volume of the box in cu. cm.
(a)216
(b)432
(c)560
(d)None of these
Answer
Answer (as printed): C
Explanation
Clearly, $l=(18-10) \mathrm{cm}=8 \mathrm{cm}, b=(24-10) \mathrm{cm}=14$ $\mathrm{cm}, h=5 \mathrm{cm}$. ∴ Volume of the box $=(8 \times 14 \times 5) \mathrm{cm}^{3}=560 \mathrm{cm}^{3}$.

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