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The surface area of a cube is 42 in2. What is the volume of the cube?

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Answer:

  • 7√7 in or 18.52 in

=======================

Let the side of the cube be a.

Then its surface area is:

  • S = 6a²

Find the side of the cube:

  • 42 = 6a²
  • a² = 7
  • a = √7

Find the volume of the cube:

  • V = a³ = (√7)³ = 7√7 18.52 in
User Moritz Schmidt
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