Question

If the length breadth and height of a cuboid are tripled, by factor does it's volume change ?

Answer 1

Let length, breadth and height of the cuboid be l, b and h.
$\mathrm{Volume}=\mathrm{length}\times \mathrm{breadth}\times \mathrm{height}=\mathrm{lbh}\mathrm{New}\mathrm{length},\mathrm{breadth}\mathrm{and}\mathrm{height}=3l,3b\mathrm{and}3h\mathrm{respectively}.\Rightarrow \mathrm{New}\mathrm{volume}=\left(3l\right)\times \left(3b\right)\times \left(3h\right)=27\mathrm{lbh}\mathrm{Clearly},\mathrm{the}\mathrm{new}\mathrm{volume}\mathrm{is}27\mathrm{times}\mathrm{the}\mathrm{old}\mathrm{volume}.$