Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
If the areas of the three adjacent faces of a cuboidal box are $120 \mathrm{cm}^{2}, 72 \mathrm{cm}^{2}$ and $60 \mathrm{cm}^{2}$ respectively, then find the volume of the box.
(a)$720 \mathrm{cm}^{3}$
(b)$864 \mathrm{cm}^{3}$
(c)$7200 \mathrm{cm}^{3}$
(d)$(72)^{2} \mathrm{cm}^{3}$
Answer
Answer (as printed): A
Explanation
Let the length, breadth and height of the box be $l, b$ and $h$ respectively. Then, Volume $$=l b h=\sqrt{(l b h)^{2}}=\sqrt{l b \times b h \times l h}=\sqrt{120 \times 72 \times 60}=720 \mathrm{cm}^{3} .$$