Question

An iron cube of size 10 cm is hammered into a rectangular sheet of thickness 0.5 cm.If the sides of the sheet be in the ratio 1 : 5 then the sides are

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

Answer 1

The Correct Option is A

Let's take one side of the sheet be k and other side be 5k
Since the sheet is made from the cube there volumn remains same.
volumn of cube = a³
volumn of cuboid = length × breadth × thickness
10³ = k ×5k × 0.5
k² = 400
k = 20 cm
One side is 20 cm and 
other side is = 5k
= 20 × 5 
= 100 cm
Other side will be 100 cm
The correct option is (A)