Multiple choice

A rectangular solid has length 10 cm, width 6 cm, and height 4 cm. The length is increased by 20%, the width is decreased by 25%, and the height remains the same. Quantity A The volume of the new solid Quantity B 261 cubic centimeters

  1. Quantity A is greater.

  2. Quantity 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
B Correct answer
Explanation

Original volume = 10 * 6 * 4 = 240. New length = 12, new width = 4.5, height = 4. New volume = 12 * 4.5 * 4 = 216. Since 216 < 261, Quantity B is greater.

AI explanation

The new length is 10 × 1.20 = 12 cm and the new width is 6 × 0.75 = 4.5 cm. The volume of the new solid is 12 × 4.5 × 4 = 216 cubic centimeters. Since 216 is less than 261, Quantity B is greater.

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