Question

if each edge of a cube is tripled,then find how many times will its volume become

Answer 1

let the edge of a cube be a units
then volume = a^3
there are 6 sides in a cube
when each side is tripled the side would be 3a and the volume will be 3a^3
that is VOLUME = 27a^3

Answer 2

Let’s consider the edge of a cube to be x

Then, it’s volume = x³

Now, if the edge is tripled

Edge = 3x

So, volume = (3x)³ = 27x3

∴ Its volume is 27 times the volume of the given cube.

${\fcolorbox{blue}{black}{\orange{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: DecentMortal\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}}$