Surface Areas and Volumes · Class 9 · CBSE Mathematics

The total surface area of a cube is 216text{ cm}^2. Find the length of its edge.

Practice question from Surface Areas and Volumes (Class 9 · CBSE Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-B188C7

The total surface area of a cube is 216 cm2216\text{ cm}^2. Find the length of its edge.

  1. A.4 cm4\text{ cm}
  2. B.5 cm5\text{ cm}
  3. C.6 cm6\text{ cm}Correct answer
  4. D.36 cm36\text{ cm}

Solution

The total surface area of a cube with edge aa is 6a26a^2. Given 6a2=2166a^2 = 216, we have a2=36a^2 = 36, which gives a=6 cma = 6\text{ cm}.

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