Question

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

Answer 1

• 7√7 in or 18.52 in

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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