Multiple choice

If $6$ cubes each of $10 cm$ edge are joined end to end, the surface area of the resulting solid will be

  1. $\displaystyle 3600\:cm^{2}$
  2. $\displaystyle 3000\:cm^{2}$
  3. $\displaystyle 2600\:cm^{2}$
  4. $\displaystyle 2400\:cm^{2}$
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C Correct answer
Explanation

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

AI explanation

Joining six cubes end to end forms a cuboid with dimensions 10 by 10 by 60 centimeters. The surface area of a cuboid is calculated as 2(lb + bh + hl), so the area is 2((10 * 10) + (10 * 60) + (60 * 10)). Working this out gives 2(100 + 600 + 600), resulting in a total surface area of 2600 square centimeters.

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