The length, breadth and height of a cuboid are increased by 10%, 20% and 50% respectively. What is the percentage increase in volume of the cuboid?

Explanation

Let the initial volume of the cuboid be V = L \times B \times H. After the respective percentage increases, the new dimensions become 1.1L, 1.2B, and 1.5H. Multiplying these new dimensions gives the new volume V' = 1.1 \times 1.2 \times 1.5 \times (L \times B \times H) = 1.98V. This represents an increase of 0.98V, which directly translates to a 98\% increase in the total volume.

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