Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
If a metallic cuboid weighs 16 kg, how much would a miniature cuboid of metal weigh, if all dimensions are reduced to one-fourth of the original?
(a)0.25 kg
(b)0.50 kg
(c)0.75 kg
(d)1 kg
Answer
Answer (as printed): A
Explanation
Let the dimensions of the bigger cuboid be $x, y$ and $z$. Then, Volume of the bigger cuboid $=x y z$. Vlume of the miniature cuboid $$=\left(\frac{1}{4} x\right)\left(\frac{1}{4} y\right)\left(\frac{1}{4} z\right)=\frac{1}{64} x y z .$$ ∴ Weight of the miniature cuboid $=\left(\frac{1}{64} \times 16\right) \mathrm{kg}=0.25 \mathrm{kg}$.