14. An iron cubes 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:
Let the sides of the sheet be x and 5x.
Then,volume of the sheet= volume of the cube
‹=› x × 5x ×1/2
‹=› 10×10×10
‹=› 5x2= 2000
‹=› x2= 400
‹=› x = 20.
The sides are 20 cm and 100 cm.
