Multiple choice

The length of a cuboid is doubled, the breadth is tripled and the height is halved. Find the percentage increase in its volume.

  1. 100%

  2. 200%

  3. 300%

  4. 3%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial volume V = L*B*H. New volume V' = (2L)(3B)(0.5H) = 3*L*B*H = 3V. Percentage increase = ((3V - V)/V) * 100 = 200%.

AI explanation

The original volume of the cuboid is calculated as length times breadth times height. The new dimensions are twice the length, three times the breadth, and half the height, making the new volume equal to 2 times 3 times 0.5, or 3 times the original volume. Since the new volume is 300% of the original, the percentage increase in volume is 200%.

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