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The height and length of a cuboid is increased by 50% and 15% respectively. Find the percentage increase in its volume.

The height and length of a cuboid is increased by 50% and 15% respectively. Find the percentage increase in its volume. Correct Answer 72.5%

Let the length, breadth and height of the cuboid be 10, 10 and 10, respectively. Volume of the cuboid initially = 10 * 10 * 10 = 1,000 cubic units Length of the new cuboid = 10 + 15% of 10 = 10 + 1.5 = 11.5 Height of the new cuboid = 10 + 50% of 10 = 10 + 5 = 15 Volume of the new cuboid = 15 * 11.5 * 10 = 1725 Change in volume = 1725 – 1000 = 725 Percentage change = 725 / 1000 * 100 = 72.5% increased

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