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GRE Quantitative Reasoning QUESTION #8101
Question 1

The volume of a cube is 64.

Compare:

Column A: The area of the base of the cube

Column B: $32$

  • Column A is greater
  • Column B is greater✔️
  • The two quantities are equal
  • The relationship cannot be determined from the information given
Correct Answer Explanation

For a cube with volume $V = s^3 = 64$, the side length is $s = \sqrt[3]{64} = 4$.

The base of a cube is a square, so its area $= s^2 = 4^2 = 16$.

Column A = 16, Column B = 32.

Since $16 < 32$, Column B is greater.