Multiple choice

If the perimeter of base of a cube is $14\ cm$ and its height is $3.5\ cm$, then its lateral surface area is

  1. $36\ cm^{2}$
  2. $422\ cm^{2}$
  3. $49\ cm^{2}$
  4. $56\ cm^{2}$
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C Correct answer
Explanation

Perimeter of base = 4 * side = 14, so side = 3.5. Lateral surface area = Perimeter * height = 14 * 3.5 = 49.

AI explanation

The perimeter of a square base is $4s$, so one side of the cube's base is $14 / 4 = 3.5$ cm. The formula for the lateral surface area of a cube is perimeter of base times height, which gives $14 \times 3.5 = 49$. The lateral surface area is 49 cm squared.

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