Multiple choice

If six cubes of $10$ cm edge are joined end to end, then the surface area (in sq. cm) of the resulting solid is

  1. $3600$
  2. $3000$
  3. $2600$
  4. $2400$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Joining 6 cubes of 10 cm edge end to end creates a rectangular prism of 60 cm x 10 cm x 10 cm. Surface area = 2 * (lb + bh + lh) = 2 * (600 + 100 + 600) = 2 * 1300 = 2600 sq. cm.

AI explanation

When six cubes are joined end to end, they form a cuboid with a length of 60 cm, a breadth of 10 cm, and a height of 10 cm. Using the total surface area formula for a cuboid, 2*(lb + bh + hl), we substitute the dimensions to get 2*(60*10 + 10*10 + 10*60). This simplifies to 2*(600 + 100 + 600), resulting in a total surface area of 2600 sq. cm.