Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
There is a cube of volume $216 \mathrm{cm}^{3}$. It is to be moulded into a cuboid having one edge equal to 6 cm. The number of ways that it can be done so that the edges have different integral values is
(a)1
(b)2
(c)3
(d)4
Answer
Answer (as printed): D
Explanation
Let the other two dimensions of the cuboid be $a$ and $b$ cm respectively. Then, $6 a b=216$ or $a b=36$. The possible values of $(a, b)$ are (1, 36), (2, 18), $(3,12)$ and (4, 9).
Explanation as extracted from the printed page; notation may be imperfect.