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 :  Choose the correct choice from the following answers
A) 10 cm20 cm
B) 2 cm10 cm
C) 100 cm20 cm
D) 30 cm100 cm
E) None
Sol.   Let the sides of the sheet be x and 5x. Then,   ⇒ x * 5x * 1/2 = 10 * 10 * 10 ⇒ 5x² = 2000 ⇒ x² = 400 ⇒ x = 20.   ∴ The sides are 20 cm and 100 cm.   10 cm20 cmnswer 10 cm20 cm
<result>A</result>
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 :