Multiple choice

A rectangular piece of paper of length 20 cm and breadth 14 cm is folded about its breadth the curved surface area of the cylinder so formed is

  1. $180 cm^2$
  2. $200 cm^2$
  3. $280 cm^2$
  4. $190 cm^2$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When the paper is formed into a cylinder, its length becomes the circumference and its breadth becomes the height. The curved surface area is therefore circumference × height = 20 × 14 = 280 cm^2.

AI explanation

When the rectangular paper is folded about its breadth, the height of the resulting cylinder is 14 cm and its base circumference is equal to the paper's length of 20 cm. The curved surface area of a cylinder is the product of its base circumference and its height. Multiplying 20 cm by 14 cm gives a curved surface area of 280 cm^2.