Question 52

If length, breadth and height of cuboids are increases by 10%, 20% and 15% respectively, then what will be the percentage change in its volume?

Solution

Given that the length, breadth and height of cuboid increased by 10%, 20% and 15% respectively.
Then, Overall change in volume will be,
Percentage increase for 10% and 20%
$$10+20+\dfrac{10\times20}{100} = 30+2 = 32$$%
For 32% and 15%
$$32+15+\dfrac{32\times15}{100} = 47+4.8 = 51.8$$%


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