The length and the breadth of a cuboid are increased by 10% each, whereas the height is reduced by 10%. By how much did the volume change?
Answer & explanation
Correct answer: option 2
We know that,
volume of cuboid = length × breadth × height
We have,
Length and Breadth increased by = 10%
Height is decreased by = 10%
Let the length, breadth and height = 100
The volume of cuboid = 100 × 100 × 100 = 1000000
After all the increment and decrement in the sides,
The volume of cuboid = 110 × 110 × 90 = 1089000
Change in volume = 1089000 – 1000000 = 89000
Percentage change in volume = 89000 × \(\frac{100}{1000000}\) = 8.9%