Multiple choice

Column A Column B The volume of a rectangular solid with length 6 feet and a square base of side 4 The volume of a cylinder with a length of 7 feet and a diameter of 4 Compare the two quantities to decide whether

  1. the quantity in Column A is greater

  2. the quantity in Column B is greater

  3. the two quantities are equal

  4. the relationship cannot be determined from the information given
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The rectangular solid has volume 6 × 4^2 = 96 cubic feet. The cylinder has radius 2 feet and volume pi × 2^2 × 7 = 28pi, which is less than 96, so Column A is greater.

AI explanation

Using the volume formula for a rectangular solid, Column A is 6 times 4 times 4, which equals 96 cubic feet. Using the formula for the volume of a cylinder, Column B is pi times 2 squared times 7, which equals 28pi or approximately 88 cubic feet. Because 96 is greater than 88, the quantity in Column A is greater.

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