Multiple choice

The volume of a solid cubical box whose surface area is $600 cm^2$ is

  1. $1000 cm^3$
  2. $1200 cm^3$
  3. $1100 cm^3$
  4. $900 cm^3$
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A Correct answer
Explanation

The surface area of a cube is 6a^2 = 600, so a^2 = 100, which means a = 10 cm. The volume is a^3 = 10^3 = 1000 cm^3.

AI explanation

The surface area of a cube is 6 times the square of its side, so 6 times side squared equals 600, making the side 10 cm. The volume of a cube is the cube of its side, so the volume is 10 times 10 times 10, which equals 1000 cubic cm.

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