Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
An iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm. If the sides of the sheet are in the ratio 1 : 5, the sides are
(a)10 cm, 50 cm
(b)20 cm, 100 cm
(c)40 cm, 200 cm
(d)None of these
Answer
Answer (as printed): B
Explanation
Let the sides of the sheet be $x$ and $5 x$. Then, Volume of the sheet = Volume of the cube $$\Rightarrow x \times 5 x \times \frac{1}{2}=10 \times 10 \times 10 \Rightarrow 5 x^{2}=2000 \Rightarrow x^{2}=400$$ $\Rightarrow x=20$. ∴ The sides are 20 cm and 100 cm.
Explanation as extracted from the printed page; notation may be imperfect.