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A cube has a volume of 4913 cm³. What is its total surface area?

hard 4 marks Class 8 · Mathematics · Cubes and Cube Roots
Answer
1734 cm²

The correct answer is 1734 cm² — Thus, the surface area is  cm².

Step-by-step solution

  1. Find the edge length by taking the cube root: .
  2. Since ,  cm.
  3. Surface area of a cube: .
  4. Compute  cm².
  5. Thus, the surface area is  cm².
Common mistake: Using the wrong root or forgetting the factor 6.

Concept tested: Surface area from volume

Published · How this solution was prepared and checked

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