Question

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 of the rectangular sheet are

• A. 10 cm, 50 cm
• B. 20 cm, 100 cm
• C. 40 cm, 200 cm
• D. 50 cm , 100 cm
• E. None of these

Answer 1

The correct option is B

20 cm, 100 cm

Let the sides of the sheet be x and 5x.

Then, Volume of the sheet = Volume of the cube

$\Rightarrow x\times 5x\times \frac{1}{2}=10\times 10\times 10\Rightarrow 5x^2=2000\Rightarrow x^2=400\Rightarrow x=20$

$\therefore$The sides are 20 cm and 100 cm.